Colmez, Pierre; Dospinescu, Gabriel; Nizioł, Wiesława Cohomologie des courbes analytiques \(p\)-adiques. (English) Zbl 07565531 Camb. J. Math. 10, No. 3, 511-655 (2022). MSC: 14Fxx 14Hxx 14F20 14F30 14G22 14H99 PDF BibTeX XML Cite \textit{P. Colmez} et al., Camb. J. Math. 10, No. 3, 511--655 (2022; Zbl 07565531) Full Text: DOI OpenURL
Wanner, Veronika Energy minimization principle for non-Archimedean curves. (English. French summary) Zbl 07557590 J. Théor. Nombres Bordx. 34, No. 1, 1-39 (2022). MSC: 32P05 14G22 14T05 32U05 32U40 PDF BibTeX XML Cite \textit{V. Wanner}, J. Théor. Nombres Bordx. 34, No. 1, 1--39 (2022; Zbl 07557590) Full Text: DOI OpenURL
Pille-Schneider, Léonard Hybrid convergence of Kähler-Einstein measures. (Convergence hybride de mesures de Kähler-Einstein.) (English. French summary) Zbl 07554664 Ann. Inst. Fourier 72, No. 2, 587-615 (2022). MSC: 14G22 32Q20 32P05 PDF BibTeX XML Cite \textit{L. Pille-Schneider}, Ann. Inst. Fourier 72, No. 2, 587--615 (2022; Zbl 07554664) Full Text: DOI OpenURL
Temkin, Michael Non-Archimedean pinchings. (English) Zbl 1485.14041 Math. Z. 301, No. 2, 2099-2109 (2022). MSC: 14G22 14D15 PDF BibTeX XML Cite \textit{M. Temkin}, Math. Z. 301, No. 2, 2099--2109 (2022; Zbl 1485.14041) Full Text: DOI OpenURL
Lorscheid, Oliver Tropical geometry over the tropical hyperfield. (English) Zbl 07524620 Rocky Mt. J. Math. 52, No. 1, 189-222 (2022). MSC: 14T10 06F05 16Y60 08A30 12J20 14G22 PDF BibTeX XML Cite \textit{O. Lorscheid}, Rocky Mt. J. Math. 52, No. 1, 189--222 (2022; Zbl 07524620) Full Text: DOI Link OpenURL
Bhatt, Bhargav; Hansen, David The six functors for Zariski-constructible sheaves in rigid geometry. (English) Zbl 07522567 Compos. Math. 158, No. 2, 437-482 (2022). MSC: 14G22 14F20 PDF BibTeX XML Cite \textit{B. Bhatt} and \textit{D. Hansen}, Compos. Math. 158, No. 2, 437--482 (2022; Zbl 07522567) Full Text: DOI OpenURL
Ben-Bassat, Oren; Mukherjee, Devarshi Analytification, localization and homotopy epimorphisms. (English) Zbl 07505774 Bull. Sci. Math. 176, Article ID 103129, 46 p. (2022). MSC: 14G22 14F08 18G99 18M05 32C15 PDF BibTeX XML Cite \textit{O. Ben-Bassat} and \textit{D. Mukherjee}, Bull. Sci. Math. 176, Article ID 103129, 46 p. (2022; Zbl 07505774) Full Text: DOI OpenURL
Temkin, Michael; Tyomkin, Ilya Reduction and lifting problem for differential forms on Berkovich curves. (English) Zbl 1484.14062 Adv. Math. 397, Article ID 108208, 23 p. (2022). Reviewer: Quentin Gendron (Guanajuato) MSC: 14H10 14G22 30F30 PDF BibTeX XML Cite \textit{M. Temkin} and \textit{I. Tyomkin}, Adv. Math. 397, Article ID 108208, 23 p. (2022; Zbl 1484.14062) Full Text: DOI arXiv OpenURL
António, Jorge; Porta, Mauro Derived non-Archimedean analytic Hilbert space. (English) Zbl 07463765 J. Inst. Math. Jussieu 21, No. 1, 335-366 (2022). MSC: 14G22 14A20 14A30 18B25 18F99 18N60 PDF BibTeX XML Cite \textit{J. António} and \textit{M. Porta}, J. Inst. Math. Jussieu 21, No. 1, 335--366 (2022; Zbl 07463765) Full Text: DOI arXiv OpenURL
Azzouz, Tinhinane A. Spectrum of a linear differential equation over a field of formal power series. (English) Zbl 07419373 J. Number Theory 231, 139-157 (2022). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 12H25 PDF BibTeX XML Cite \textit{T. A. Azzouz}, J. Number Theory 231, 139--157 (2022; Zbl 07419373) Full Text: DOI arXiv OpenURL
Ducros, Antoine Reduction of affinoid spaces in family. (Réduction en famille d’espaces affinoïdes.) (French. English summary) Zbl 07513436 Bull. Soc. Math. Fr. 149, No. 4, 547-611 (2021). MSC: 14G22 14G99 PDF BibTeX XML Cite \textit{A. Ducros}, Bull. Soc. Math. Fr. 149, No. 4, 547--611 (2021; Zbl 07513436) Full Text: DOI OpenURL
Hansen, David Moduli of local shtukas and Harris’s conjecture. (English) Zbl 07447171 Tunis. J. Math. 3, No. 4, 749-799 (2021). Reviewer: Taiwang Deng (Bonn) MSC: 11S37 14G22 14G45 PDF BibTeX XML Cite \textit{D. Hansen}, Tunis. J. Math. 3, No. 4, 749--799 (2021; Zbl 07447171) Full Text: DOI OpenURL
Conrad, Brian; Temkin, Michael Descent for nonarchimedean analytic spaces. (English) Zbl 07447170 Tunis. J. Math. 3, No. 4, 689-748 (2021). MSC: 14G22 14D15 PDF BibTeX XML Cite \textit{B. Conrad} and \textit{M. Temkin}, Tunis. J. Math. 3, No. 4, 689--748 (2021; Zbl 07447170) Full Text: DOI arXiv OpenURL
Guo, Haoyang; Li, Shizhang Period sheaves via derived de Rham cohomology. (English) Zbl 1484.14040 Compos. Math. 157, No. 11, 2377-2406 (2021). Reviewer: Márton Hablicsek (Leiden) MSC: 14F30 14F40 14G22 14G45 PDF BibTeX XML Cite \textit{H. Guo} and \textit{S. Li}, Compos. Math. 157, No. 11, 2377--2406 (2021; Zbl 1484.14040) Full Text: DOI arXiv OpenURL
Ardakov, Konstantin; Bode, Andreas; Wadsley, Simon \(\widehat{\mathcal{D}}\)-modules on rigid analytic spaces. III: Weak holonomicity and operations. (English) Zbl 1484.14055 Compos. Math. 157, No. 12, 2553-2584 (2021). MSC: 14G22 32C38 PDF BibTeX XML Cite \textit{K. Ardakov} et al., Compos. Math. 157, No. 12, 2553--2584 (2021; Zbl 1484.14055) Full Text: DOI arXiv OpenURL
Wedhorn, Torsten Book review of: K. Fujiwara and F. Kato, Foundations of rigid geometry. I. (English) Zbl 1472.00041 Jahresber. Dtsch. Math.-Ver. 123, No. 3, 211-215 (2021). MSC: 00A17 14-02 14A20 14G22 PDF BibTeX XML Cite \textit{T. Wedhorn}, Jahresber. Dtsch. Math.-Ver. 123, No. 3, 211--215 (2021; Zbl 1472.00041) Full Text: DOI OpenURL
Johansson, Christian; Ludwig, Judith; Hansen, David A quotient of the Lubin-Tate tower. II. (English) Zbl 07363335 Math. Ann. 380, No. 1-2, 43-89 (2021). MSC: 11F77 14G45 11S37 14G22 PDF BibTeX XML Cite \textit{C. Johansson} et al., Math. Ann. 380, No. 1--2, 43--89 (2021; Zbl 07363335) Full Text: DOI arXiv OpenURL
Chapuis, Marc Tamely ramified forms of closed polydisks and laces. (Formes modérément ramifiées de polydisques fermés et de dentelles.) (French. English summary) Zbl 1485.14040 Ann. Inst. Fourier 71, No. 1, 287-316 (2021). Reviewer: Dorian Berger (Caen) MSC: 14G22 13B02 16W70 PDF BibTeX XML Cite \textit{M. Chapuis}, Ann. Inst. Fourier 71, No. 1, 287--316 (2021; Zbl 1485.14040) Full Text: DOI OpenURL
Ardakov, Konstantin Equivariant \(\mathcal D\)-modules on rigid analytic spaces. (English) Zbl 1464.14002 Astérisque 423. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-936-4/pbk). 161 p. (2021). Reviewer: Shishir Agrawal (Colorado Springs) MSC: 14-02 14G22 32C38 PDF BibTeX XML Cite \textit{K. Ardakov}, Equivariant \(\mathcal D\)-modules on rigid analytic spaces. Paris: Société Mathématique de France (SMF) (2021; Zbl 1464.14002) Full Text: DOI arXiv OpenURL
Maculan, Marco; Poineau, Jérôme Notions of Stein spaces in non-Archimedean geometry. (English) Zbl 1475.32012 J. Algebr. Geom. 30, No. 2, 287-330 (2021). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32P05 32E10 14G22 PDF BibTeX XML Cite \textit{M. Maculan} and \textit{J. Poineau}, J. Algebr. Geom. 30, No. 2, 287--330 (2021; Zbl 1475.32012) Full Text: DOI arXiv OpenURL
Ducros, Antoine Unscrew, cut, burst and flatten Berkovich spaces. (Dévisser, découper, éclater et aplatir les espaces de Berkovich.) (French. English summary) Zbl 1461.14030 Compos. Math. 157, No. 2, 236-302 (2021). Reviewer: Federico Bambozzi (Oxford) MSC: 14G22 14G99 PDF BibTeX XML Cite \textit{A. Ducros}, Compos. Math. 157, No. 2, 236--302 (2021; Zbl 1461.14030) Full Text: DOI arXiv OpenURL
Brandt, Madeline; Helminck, Paul Alexander Tropical superelliptic curves. (English) Zbl 1460.14144 Adv. Geom. 20, No. 4, 527-551 (2020). MSC: 14T20 14H10 14G22 PDF BibTeX XML Cite \textit{M. Brandt} and \textit{P. A. Helminck}, Adv. Geom. 20, No. 4, 527--551 (2020; Zbl 1460.14144) Full Text: DOI arXiv OpenURL
Ivanov, Alexander B.; Weinstein, Jared The smooth locus in infinite-level Rapoport-Zink spaces. (English) Zbl 1460.14057 Compos. Math. 156, No. 9, 1846-1872 (2020). MSC: 14G22 14G45 14G35 14G20 14L05 PDF BibTeX XML Cite \textit{A. B. Ivanov} and \textit{J. Weinstein}, Compos. Math. 156, No. 9, 1846--1872 (2020; Zbl 1460.14057) Full Text: DOI arXiv OpenURL
Colmez, Pierre; Nizioł, Wiesława On \(p\)-adic comparison theorems for rigid analytic varieties: I. (English) Zbl 1467.14064 Münster J. Math. 13, No. 2, 445-507 (2020). MSC: 14G22 11F77 14F30 PDF BibTeX XML Cite \textit{P. Colmez} and \textit{W. Nizioł}, Münster J. Math. 13, No. 2, 445--507 (2020; Zbl 1467.14064) Full Text: DOI arXiv OpenURL
Vooys, Geoff The Greenberg functor is site cocontinuous. (English) Zbl 1441.13051 Wood, David R. (ed.) et al., 2018 MATRIX annals. Cham: Springer. MATRIX Book Ser. 3, 383-427 (2020). MSC: 13F35 14A15 14G20 14G22 18C20 14A20 PDF BibTeX XML Cite \textit{G. Vooys}, MATRIX Book Ser. 3, 383--427 (2020; Zbl 1441.13051) Full Text: DOI arXiv OpenURL
Welliaveetil, John Radiality of definable sets. (English) Zbl 1440.14133 Adv. Math. 371, Article ID 107243, 67 p. (2020). MSC: 14G22 03C98 PDF BibTeX XML Cite \textit{J. Welliaveetil}, Adv. Math. 371, Article ID 107243, 67 p. (2020; Zbl 1440.14133) Full Text: DOI arXiv OpenURL
Caraiani, Ana; Gulotta, Daniel R.; Hsu, Chi-Yun; Johansson, Christian; Mocz, Lucia; Reinecke, Emanuel; Shih, Sheng-Chi Shimura varieties at level \(\Gamma_1(p^{\infty})\) and Galois representations. (English) Zbl 1452.11063 Compos. Math. 156, No. 6, 1152-1230 (2020). Reviewer: Lei Yang (Beijing) MSC: 11F75 11F80 11G18 14G22 PDF BibTeX XML Cite \textit{A. Caraiani} et al., Compos. Math. 156, No. 6, 1152--1230 (2020; Zbl 1452.11063) Full Text: DOI arXiv OpenURL
Welliaveetil, John A Riemann-Hurwitz formula for skeleta in non-Archimedean geometry. (English) Zbl 1453.14076 Eur. J. Math. 6, No. 2, 453-487 (2020). MSC: 14G22 14T20 PDF BibTeX XML Cite \textit{J. Welliaveetil}, Eur. J. Math. 6, No. 2, 453--487 (2020; Zbl 1453.14076) Full Text: DOI arXiv OpenURL
Liu, Yifeng Tropical cycle classes for non-Archimedean spaces and weight decomposition of de Rham cohomology sheaves. (English) Zbl 1453.14150 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 291-352 (2020). MSC: 14T20 14G22 32C99 PDF BibTeX XML Cite \textit{Y. Liu}, Ann. Sci. Éc. Norm. Supér. (4) 53, No. 2, 291--352 (2020; Zbl 1453.14150) Full Text: DOI OpenURL
Fargues, Laurent Simple connectedness of fibers of an Abel-Jacobi mapping and local class fields. (Simple connexité des fibres d’une application d’Abel-Jacobi et corps de classes local.) (French) Zbl 1465.11227 Ann. Sci. Éc. Norm. Supér. (4) 53, No. 1, 89-124 (2020). MSC: 11S37 11F77 14D24 14G20 PDF BibTeX XML Cite \textit{L. Fargues}, Ann. Sci. Éc. Norm. Supér. (4) 53, No. 1, 89--124 (2020; Zbl 1465.11227) Full Text: DOI arXiv OpenURL
Mieda, Yoichi On irreducible components of Rapoport-Zink spaces. (English) Zbl 1462.14028 Int. Math. Res. Not. 2020, No. 8, 2361-2407 (2020). Reviewer: Andrea Marrama (Paris) MSC: 14G35 22E50 14G22 14G20 16S50 PDF BibTeX XML Cite \textit{Y. Mieda}, Int. Math. Res. Not. 2020, No. 8, 2361--2407 (2020; Zbl 1462.14028) Full Text: DOI arXiv OpenURL
Jonsson, Mattias; Nicaise, Johannes Convergence of \(p\)-adic pluricanonical measures to Lebesgue measures on skeleta in Berkovich spaces. (Convergence des mesures pluricanoniques \(p\)-adiques vers des mesures de Lebesgue sur des squelettes dans les espaces de Berkovich.) (English. French summary) Zbl 1430.14056 J. Éc. Polytech., Math. 7, 287-336 (2020). MSC: 14G22 14J32 32P05 14T25 PDF BibTeX XML Cite \textit{M. Jonsson} and \textit{J. Nicaise}, J. Éc. Polytech., Math. 7, 287--336 (2020; Zbl 1430.14056) Full Text: DOI arXiv OpenURL
Hansen, David Vanishing and comparison theorems in rigid analytic geometry. (English) Zbl 1441.14085 Compos. Math. 156, No. 2, 299-324 (2020). MSC: 14G22 14F17 14F20 PDF BibTeX XML Cite \textit{D. Hansen}, Compos. Math. 156, No. 2, 299--324 (2020; Zbl 1441.14085) Full Text: DOI OpenURL
Pridham, J. P. A differential graded model for derived analytic geometry. (English) Zbl 1440.14094 Adv. Math. 360, Article ID 106922, 29 p. (2020). Reviewer: Julian Holstein (Hamburg) MSC: 14F08 14A20 32C99 14G22 18G35 PDF BibTeX XML Cite \textit{J. P. Pridham}, Adv. Math. 360, Article ID 106922, 29 p. (2020; Zbl 1440.14094) Full Text: DOI arXiv OpenURL
Meyer, Ralf; Mukherjee, Devarshi Dagger completions and bornological torsion-freeness. (English) Zbl 1458.14025 Q. J. Math. 70, No. 3, 1135-1156 (2019). Reviewer: Federico Bambozzi (Oxford) MSC: 14F30 14G22 14A20 32P05 46A17 16E40 PDF BibTeX XML Cite \textit{R. Meyer} and \textit{D. Mukherjee}, Q. J. Math. 70, No. 3, 1135--1156 (2019; Zbl 1458.14025) Full Text: DOI arXiv OpenURL
Brinon, Olivier; Andreatta, Fabrizio; Brasca, Riccardo; Chiarellotto, Bruno; Mazzari, Nicola; Panozzo, Simone; Seveso, Marco An introduction to perfectoid spaces. (English) Zbl 1443.14022 Andreatta, Fabrizio et al., An excursion into \(p\)-adic Hodge theory: from foundations to recent trends. Paris: Société Mathématique de France (SMF). Panor. Synth. 54, 207-265 (2019). MSC: 14F20 14F30 14G20 14G22 32P05 14G45 14-01 PDF BibTeX XML Cite \textit{O. Brinon} et al., Panor. Synth. 54, 207--265 (2019; Zbl 1443.14022) OpenURL
Thuong, Lê Quy A proof of the \(\ell \)-adic version of the integral identity conjecture for polynomials. (Une preuve de la version \(\ell\)-adique de la conjecture de l’identité intégrale pour des polynômes.) (English. French summary) Zbl 1441.14070 Bull. Soc. Math. Fr. 147, No. 3, 355-375 (2019). MSC: 14F20 14G22 14B25 14F30 14N35 PDF BibTeX XML Cite \textit{L. Q. Thuong}, Bull. Soc. Math. Fr. 147, No. 3, 355--375 (2019; Zbl 1441.14070) Full Text: DOI arXiv OpenURL
Bhatt, Bhargav The Hodge-Tate decomposition via perfectoid spaces. (English) Zbl 1453.14080 Cais, Bryden (ed.), Perfectoid spaces. Lectures from the 20th Arizona winter school, University of Arizona, Tuscon, AZ, USA, March 11–17, 2017. With an introduction by Peter Scholze. Providence, RI: American Mathematical Society (AMS). Math. Surv. Monogr. 242, 193-244 (2019). MSC: 14G45 14C30 14G22 14F30 11F85 14-02 PDF BibTeX XML Cite \textit{B. Bhatt}, Math. Surv. Monogr. 242, 193--244 (2019; Zbl 1453.14080) Full Text: Link OpenURL
Weinstein, Jared Adic spaces. (English) Zbl 1451.14083 Cais, Bryden (ed.), Perfectoid spaces. Lectures from the 20th Arizona winter school, University of Arizona, Tuscon, AZ, USA, March 11–17, 2017. With an introduction by Peter Scholze. Providence, RI: American Mathematical Society (AMS). Math. Surv. Monogr. 242, 1-43 (2019). MSC: 14G45 14G20 14G22 14G35 14-01 11F85 11G20 PDF BibTeX XML Cite \textit{J. Weinstein}, Math. Surv. Monogr. 242, 1--43 (2019; Zbl 1451.14083) OpenURL
Bambozzi, Federico; Ben-Bassat, Oren; Kremnizer, Kobi Analytic geometry over \(\mathbb{F}_1\) and the Fargues-Fontaine curve. (English) Zbl 1454.14005 Adv. Math. 356, Article ID 106815, 73 p. (2019). MSC: 14A23 14G22 13F35 14A15 18A35 18G99 32P05 46A17 PDF BibTeX XML Cite \textit{F. Bambozzi} et al., Adv. Math. 356, Article ID 106815, 73 p. (2019; Zbl 1454.14005) Full Text: DOI arXiv OpenURL
Li, Shizhang; Pan, Xuanyu Logarithmic de Rham comparison for open rigid spaces. (English) Zbl 1454.14069 Forum Math. Sigma 7, Paper No. e32, 53 p. (2019). MSC: 14G22 14C30 14G20 32J27 14A21 14G45 PDF BibTeX XML Cite \textit{S. Li} and \textit{X. Pan}, Forum Math. Sigma 7, Paper No. e32, 53 p. (2019; Zbl 1454.14069) Full Text: DOI arXiv OpenURL
Vezzani, Alberto A motivic version of the theorem of Fontaine and Wintenberger. (English) Zbl 1419.14033 Compos. Math. 155, No. 1, 38-88 (2019). MSC: 14G22 14F42 PDF BibTeX XML Cite \textit{A. Vezzani}, Compos. Math. 155, No. 1, 38--88 (2019; Zbl 1419.14033) Full Text: DOI arXiv OpenURL
Gubler, Walter; Künnemann, Klaus Positivity properties of metrics and delta-forms. (English) Zbl 1476.14052 J. Reine Angew. Math. 752, 141-177 (2019). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 32U05 PDF BibTeX XML Cite \textit{W. Gubler} and \textit{K. Künnemann}, J. Reine Angew. Math. 752, 141--177 (2019; Zbl 1476.14052) Full Text: DOI arXiv OpenURL
Brown, Morgan V.; Mazzon, Enrica The essential skeleton of a product of degenerations. (English) Zbl 1440.14131 Compos. Math. 155, No. 7, 1259-1300 (2019). MSC: 14G22 14E30 PDF BibTeX XML Cite \textit{M. V. Brown} and \textit{E. Mazzon}, Compos. Math. 155, No. 7, 1259--1300 (2019; Zbl 1440.14131) Full Text: DOI arXiv OpenURL
Vezzani, Alberto The Berkovich realization for rigid analytic motives. (English) Zbl 1440.14132 J. Algebra 527, 30-54 (2019). MSC: 14G22 14C15 14F42 PDF BibTeX XML Cite \textit{A. Vezzani}, J. Algebra 527, 30--54 (2019; Zbl 1440.14132) Full Text: DOI arXiv OpenURL
Cueto, Maria Angelica; Markwig, Hannah Tropical geometry of genus two curves. (English) Zbl 1408.14200 J. Algebra 517, 457-512 (2019). Reviewer: Hulya Arguz (London) MSC: 14T05 14H45 14Q05 14G22 PDF BibTeX XML Cite \textit{M. A. Cueto} and \textit{H. Markwig}, J. Algebra 517, 457--512 (2019; Zbl 1408.14200) Full Text: DOI arXiv OpenURL
Scholze, Peter \(p\)-adic geometry. (English) Zbl 1441.14001 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 899-933 (2018). MSC: 14-02 11-02 14G45 14G22 11F70 14G20 11S37 11R39 11F80 14G35 PDF BibTeX XML Cite \textit{P. Scholze}, in: Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 899--933 (2018; Zbl 1441.14001) Full Text: DOI arXiv OpenURL
Rapoport, Michael The work of Peter Scholze. (English) Zbl 1441.11002 Sirakov, Boyan (ed.) et al., Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1–9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 71-85 (2018). MSC: 11-02 11-03 14-02 14-03 14G45 11F77 14G22 01A61 11S37 11R39 11F80 01A70 PDF BibTeX XML Cite \textit{M. Rapoport}, in: Proceedings of the international congress of mathematicians, ICM 2018, Rio de Janeiro, Brazil, August 1--9, 2018. Volume I. Plenary lectures. Hackensack, NJ: World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). 71--85 (2018; Zbl 1441.11002) Full Text: DOI arXiv OpenURL
Rindler, H. Book review of: E. Hrushovski and F. Loeser, Non-archimedean tame topology and stably dominated types. (English) Zbl 1409.00037 Monatsh. Math. 187, No. 2, 381 (2018). MSC: 00A17 14G22 14-02 03C98 03C64 03C60 54F99 PDF BibTeX XML Cite \textit{H. Rindler}, Monatsh. Math. 187, No. 2, 381 (2018; Zbl 1409.00037) Full Text: DOI OpenURL
Le Bras, Arthur-César Banach-Colmez spaces and coherent sheaves on the Fargues-Fontaine curve. (Espaces de Banach-Colmez et faisceaux cohérents sur la courbe de Fargues-Fontaine.) (English) Zbl 1439.14085 Duke Math. J. 167, No. 18, 3455-3532 (2018). MSC: 14G22 14F30 14F08 14G45 PDF BibTeX XML Cite \textit{A.-C. Le Bras}, Duke Math. J. 167, No. 18, 3455--3532 (2018; Zbl 1439.14085) Full Text: DOI arXiv Euclid OpenURL
Sabbah, Claude Irregular Hodge theory. (English. French summary) Zbl 1422.14003 Mém. Soc. Math. Fr., Nouv. Sér. 156, 1-126 (2018). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14-02 32-02 14C30 32C38 14F40 32S35 32S40 14F10 PDF BibTeX XML Cite \textit{C. Sabbah}, Mém. Soc. Math. Fr., Nouv. Sér. 156, 1--126 (2018; Zbl 1422.14003) Full Text: arXiv OpenURL
Fantini, Lorenzo; Turchetti, Daniele Galois descent of semi-affinoid spaces. (English) Zbl 1428.14037 Math. Z. 290, No. 3-4, 1085-1114 (2018). MSC: 14G22 14G45 PDF BibTeX XML Cite \textit{L. Fantini} and \textit{D. Turchetti}, Math. Z. 290, No. 3--4, 1085--1114 (2018; Zbl 1428.14037) Full Text: DOI arXiv Link OpenURL
Ducros, Antoine Families of Berkovich spaces. (English) Zbl 1460.14001 Astérisque 400. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-885-5/pbk). vii, 262 p. (2018). Reviewer: Shishir Agrawal (Colorado Springs) MSC: 14-02 14H15 14G22 14A99 32C18 PDF BibTeX XML Cite \textit{A. Ducros}, Families of Berkovich spaces. Paris: Société Mathématique de France (SMF) (2018; Zbl 1460.14001) OpenURL
Yu, Tony Yue Gromov compactness in non-archimedean analytic geometry. (English) Zbl 1423.14174 J. Reine Angew. Math. 741, 179-210 (2018). MSC: 14G22 53D30 PDF BibTeX XML Cite \textit{T. Y. Yu}, J. Reine Angew. Math. 741, 179--210 (2018; Zbl 1423.14174) Full Text: DOI arXiv OpenURL
André, Yves The direct factor conjecture. (La conjecture du facteur direct.) (French) Zbl 1419.13029 Publ. Math., Inst. Hautes Étud. Sci. 127, 71-93 (2018). Reviewer: Jérôme Poineau (Caen) MSC: 13D22 13C14 14G22 PDF BibTeX XML Cite \textit{Y. André}, Publ. Math., Inst. Hautes Étud. Sci. 127, 71--93 (2018; Zbl 1419.13029) Full Text: DOI arXiv OpenURL
André, Yves Abhyankar’s perfectoid lemma. (Le lemme d’Abhyankar perfectoide.) (French) Zbl 1419.14030 Publ. Math., Inst. Hautes Étud. Sci. 127, 1-70 (2018). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 11S15 13J07 13B40 PDF BibTeX XML Cite \textit{Y. André}, Publ. Math., Inst. Hautes Étud. Sci. 127, 1--70 (2018; Zbl 1419.14030) Full Text: DOI OpenURL
Jell, Philipp; Wanner, Veronika Poincaré duality for the tropical Dolbeault cohomology of non-Archimedean Mumford curves. (English) Zbl 1398.32031 J. Number Theory 187, 344-371 (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32P05 32C37 14T05 14G22 14G40 PDF BibTeX XML Cite \textit{P. Jell} and \textit{V. Wanner}, J. Number Theory 187, 344--371 (2018; Zbl 1398.32031) Full Text: DOI arXiv OpenURL
Porta, Mauro; Yu, Tony Yue Derived non-Archimedean analytic spaces. (English) Zbl 1423.14172 Sel. Math., New Ser. 24, No. 2, 609-665 (2018). MSC: 14G22 14A20 14F05 18B25 18F99 PDF BibTeX XML Cite \textit{M. Porta} and \textit{T. Y. Yu}, Sel. Math., New Ser. 24, No. 2, 609--665 (2018; Zbl 1423.14172) Full Text: DOI arXiv OpenURL
Fujiwara, Kazuhiro; Kato, Fumiharu Foundations of rigid geometry. I. (English) Zbl 1400.14001 EMS Monographs in Mathematics. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-135-4/hbk; 978-3-03719-635-9/ebook). xxxiv, 829 p. (2018). Reviewer: Elmar Große-Klönne (Berlin) MSC: 14-02 14A20 14G22 PDF BibTeX XML Cite \textit{K. Fujiwara} and \textit{F. Kato}, Foundations of rigid geometry. I. Zürich: European Mathematical Society (EMS) (2018; Zbl 1400.14001) Full Text: DOI arXiv OpenURL
Gubler, Walter; Rabinoff, Joseph; Werner, Annette Tropical skeletons. (Squelettes tropicaux.) (English. French summary) Zbl 1439.14084 Ann. Inst. Fourier 67, No. 5, 1905-1961 (2017). MSC: 14G22 14T25 PDF BibTeX XML Cite \textit{W. Gubler} et al., Ann. Inst. Fourier 67, No. 5, 1905--1961 (2017; Zbl 1439.14084) Full Text: DOI arXiv OpenURL
Ito, Tetsushi Number theoretic applications of the theory of perfectoid spaces. (Japanese. English summary) Zbl 1425.11127 RIMS Kôkyûroku Bessatsu B64, 255-293 (2017). MSC: 11G18 11G25 11R39 14G22 14G35 PDF BibTeX XML Cite \textit{T. Ito}, RIMS Kôkyûroku Bessatsu B64, 255--293 (2017; Zbl 1425.11127) OpenURL
Tsushima, Takahiro Foundations for theory of perfectoid spaces. (Japanese. English summary) Zbl 1391.14043 RIMS Kôkyûroku Bessatsu B64, 219-253 (2017). MSC: 14G22 14G35 PDF BibTeX XML Cite \textit{T. Tsushima}, RIMS Kôkyûroku Bessatsu B64, 219--253 (2017; Zbl 1391.14043) OpenURL
Maculan, Marco Diophantine applications of geometric invariant theory. (English. French summary) Zbl 1420.14109 Mém. Soc. Math. Fr., Nouv. Sér. 152, 1-149 (2017). Reviewer: Jérôme Poineau (Caen) MSC: 14L24 14G40 11K60 14G22 PDF BibTeX XML Cite \textit{M. Maculan}, Mém. Soc. Math. Fr., Nouv. Sér. 152, 1--149 (2017; Zbl 1420.14109) OpenURL
Gubler, Walter; Hertel, Julius Local heights of toric varieties over non-Archimedean fields. (English. French summary) Zbl 1434.11124 Actes de la conférence “Non-Archimedean analytic geometry: theory and practice”. Besançon: Presses Universitaires de Franche-Comté. Publ. Math. Besançon, Algèbre Théor. Nombres 2017, Part 1, 5-77 (2017). MSC: 11G50 14G40 14G22 14M25 PDF BibTeX XML Cite \textit{W. Gubler} and \textit{J. Hertel}, Publ. Math. Besançon, Algèbre Théor. Nombres 2017, 5--77 (2017; Zbl 1434.11124) Full Text: arXiv OpenURL
Kedlaya, Kiran S.; Shiho, Atsushi Corrigendum to: “Local and global structure of connections on nonarchimedean curves”. (English) Zbl 1379.12008 Compos. Math. 153, No. 12, 2658-2665 (2017). MSC: 12H25 14G22 PDF BibTeX XML Cite \textit{K. S. Kedlaya} and \textit{A. Shiho}, Compos. Math. 153, No. 12, 2658--2665 (2017; Zbl 1379.12008) Full Text: DOI OpenURL
Temkin, Michael Altered local uniformization of Berkovich spaces. (English) Zbl 1419.14032 Isr. J. Math. 221, No. 2, 585-603 (2017). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 PDF BibTeX XML Cite \textit{M. Temkin}, Isr. J. Math. 221, No. 2, 585--603 (2017; Zbl 1419.14032) Full Text: DOI arXiv OpenURL
Achinger, Piotr Wild ramification and \(K(\pi , 1)\) spaces. (English) Zbl 1453.14063 Invent. Math. 210, No. 2, 453-499 (2017). MSC: 14F35 14F20 14G22 14R10 PDF BibTeX XML Cite \textit{P. Achinger}, Invent. Math. 210, No. 2, 453--499 (2017; Zbl 1453.14063) Full Text: DOI arXiv OpenURL
Ludwig, Judith A quotient of the Lubin-Tate tower. (English) Zbl 1434.11110 Forum Math. Sigma 5, Paper No. e17, 41 p. (2017). MSC: 11F77 14G45 11S37 14G22 PDF BibTeX XML Cite \textit{J. Ludwig}, Forum Math. Sigma 5, Paper No. e17, 41 p. (2017; Zbl 1434.11110) Full Text: DOI arXiv OpenURL
Boucksom, Sébastien; Jonsson, Mattias Tropical and non-Archimedean limits of degenerating families of volume forms. (English. French summary) Zbl 1401.32019 J. Éc. Polytech., Math. 4, 87-139 (2017). Reviewer: Anna Fino (Torino) MSC: 32Q25 14J32 14T05 53C23 32P05 14G22 PDF BibTeX XML Cite \textit{S. Boucksom} and \textit{M. Jonsson}, J. Éc. Polytech., Math. 4, 87--139 (2017; Zbl 1401.32019) Full Text: DOI arXiv OpenURL
Martin, Florent [Kappen, Christian] Analytic functions on tubes of nonarchimedean analytic spaces. (English) Zbl 1401.14129 Algebra Number Theory 11, No. 3, 657-683 (2017). MSC: 14G22 13F25 13F40 PDF BibTeX XML Cite \textit{F. Martin}, Algebra Number Theory 11, No. 3, 657--683 (2017; Zbl 1401.14129) Full Text: DOI arXiv OpenURL
Gaudron, Éric; Rémond, Gaël Siegel fields. (Corps de Siegel.) (French. English summary) Zbl 1385.11046 J. Reine Angew. Math. 726, 187-247 (2017). Reviewer: Michel Waldschmidt (Paris) MSC: 11H06 52C07 11G50 11R56 PDF BibTeX XML Cite \textit{É. Gaudron} and \textit{G. Rémond}, J. Reine Angew. Math. 726, 187--247 (2017; Zbl 1385.11046) Full Text: DOI OpenURL
Ruggiero, Matteo; Shaw, Kristin Tropical Hopf manifolds and contracting germs. (English) Zbl 1401.14241 Manuscr. Math. 152, No. 1-2, 1-60 (2017). MSC: 14T05 37P50 14G22 PDF BibTeX XML Cite \textit{M. Ruggiero} and \textit{K. Shaw}, Manuscr. Math. 152, No. 1--2, 1--60 (2017; Zbl 1401.14241) Full Text: DOI arXiv OpenURL
Gubler, Walter; Künnemann, Klaus A tropical approach to nonarchimedean Arakelov geometry. (English) Zbl 1386.14096 Algebra Number Theory 11, No. 1, 77-180 (2017). Reviewer: Nikita Kalinin (Col. San Pedro Zacatenco) MSC: 14G40 14G22 14T05 32P05 PDF BibTeX XML Cite \textit{W. Gubler} and \textit{K. Künnemann}, Algebra Number Theory 11, No. 1, 77--180 (2017; Zbl 1386.14096) Full Text: DOI arXiv OpenURL
Martin, Florent Overconvergent subanalytic subsets in the framework of Berkovich spaces. (English) Zbl 1357.14030 J. Eur. Math. Soc. (JEMS) 18, No. 10, 2405-2457 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 14G22 12J10 32P05 32B20 PDF BibTeX XML Cite \textit{F. Martin}, J. Eur. Math. Soc. (JEMS) 18, No. 10, 2405--2457 (2016; Zbl 1357.14030) Full Text: DOI arXiv OpenURL
Foster, Tyler Introduction to adic tropicalization. (English) Zbl 1349.14099 Baker, Matthew (ed.) et al., Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). Simons Symposia, 337-364 (2016). MSC: 14G22 14T05 PDF BibTeX XML Cite \textit{T. Foster}, in: Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer. 337--364 (2016; Zbl 1349.14099) Full Text: DOI arXiv OpenURL
Abramovich, Dan; Chen, Qile; Marcus, Steffen; Ulirsch, Martin; Wise, Jonathan Skeletons and fans of logarithmic structures. (English) Zbl 1364.14047 Baker, Matthew (ed.) et al., Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). Simons Symposia, 287-336 (2016). Reviewer: Keyvan Yaghmayi (Salt Lake City) MSC: 14T05 14M25 14G22 14A20 14D20 PDF BibTeX XML Cite \textit{D. Abramovich} et al., in: Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer. 287--336 (2016; Zbl 1364.14047) Full Text: DOI arXiv OpenURL
Temkin, Michael Metrization of differential pluriforms on Berkovich analytic spaces. (English) Zbl 1360.32019 Baker, Matthew (ed.) et al., Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). Simons Symposia, 195-285 (2016). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32P05 32Q15 14G22 PDF BibTeX XML Cite \textit{M. Temkin}, in: Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer. 195--285 (2016; Zbl 1360.32019) Full Text: DOI arXiv Link OpenURL
Nicaise, Johannes Berkovich skeleta and birational geometry. (English) Zbl 1349.14102 Baker, Matthew (ed.) et al., Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). Simons Symposia, 173-194 (2016). MSC: 14G22 14T05 14E05 PDF BibTeX XML Cite \textit{J. Nicaise}, in: Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer. 173--194 (2016; Zbl 1349.14102) Full Text: DOI arXiv Link OpenURL
Werner, Annette Analytification and tropicalization over non-Archimedean fields. (English) Zbl 1349.14103 Baker, Matthew (ed.) et al., Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). Simons Symposia, 145-171 (2016). MSC: 14G22 14T05 PDF BibTeX XML Cite \textit{A. Werner}, in: Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer. 145--171 (2016; Zbl 1349.14103) Full Text: DOI arXiv OpenURL
Ducros, Antoine About Hrushovski and Loeser’s work on the homotopy type of Berkovich spaces. (English) Zbl 1349.14098 Baker, Matthew (ed.) et al., Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). Simons Symposia, 99-131 (2016). MSC: 14G22 PDF BibTeX XML Cite \textit{A. Ducros}, in: Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer. 99--131 (2016; Zbl 1349.14098) Full Text: DOI arXiv Link OpenURL
Cohen, Adina; Temkin, Michael; Trushin, Dmitri Morphisms of Berkovich curves and the different function. (English) Zbl 1375.14089 Adv. Math. 303, 800-858 (2016). MSC: 14G22 14H37 PDF BibTeX XML Cite \textit{A. Cohen} et al., Adv. Math. 303, 800--858 (2016; Zbl 1375.14089) Full Text: DOI arXiv OpenURL
Porta, Mauro; Yu, Tony Yue Higher analytic stacks and GAGA theorems. (English) Zbl 1388.14016 Adv. Math. 302, 351-409 (2016). MSC: 14A20 14G22 32C35 14F05 PDF BibTeX XML Cite \textit{M. Porta} and \textit{T. Y. Yu}, Adv. Math. 302, 351--409 (2016; Zbl 1388.14016) Full Text: DOI arXiv OpenURL
Cueto, Maria Angelica; Markwig, Hannah How to repair tropicalizations of plane curves using modifications. (English) Zbl 1349.14196 Exp. Math. 25, No. 2, 130-164 (2016). Reviewer: Nikita Kalinin (Col. San Pedro Zacatenco) MSC: 14T05 51M20 14H52 14G22 PDF BibTeX XML Cite \textit{M. A. Cueto} and \textit{H. Markwig}, Exp. Math. 25, No. 2, 130--164 (2016; Zbl 1349.14196) Full Text: DOI arXiv OpenURL
Baker, Matthew (ed.); Payne, Sam (ed.) Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 – April 6, 2013 and Puerto Rico, February 1–7, 2015. (English) Zbl 1354.14004 Simons Symposia. Cham: Springer (ISBN 978-3-319-30944-6/hbk; 978-3-319-30945-3/ebook). xiv, 526 p. (2016). MSC: 14-06 14T05 14G22 32P05 32C18 00B25 PDF BibTeX XML Cite \textit{M. Baker} (ed.) and \textit{S. Payne} (ed.), Nonarchimedean and tropical geometry. Based on two Simons symposia, Island of St. John, March 31 -- April 6, 2013 and Puerto Rico, February 1--7, 2015. Cham: Springer (2016; Zbl 1354.14004) Full Text: DOI OpenURL
Nicaise, Johannes; Xu, Chenyang Poles of maximal order of motivic zeta functions. (English) Zbl 1366.14008 Duke Math. J. 165, No. 2, 217-243 (2016). Reviewer: Wim Veys (Leuven) MSC: 14B05 14E30 14G22 14E15 14D06 PDF BibTeX XML Cite \textit{J. Nicaise} and \textit{C. Xu}, Duke Math. J. 165, No. 2, 217--243 (2016; Zbl 1366.14008) Full Text: DOI arXiv Euclid OpenURL
Hrushovski, Ehud; Loeser, François Non-Archimedean tame topology and stably dominated types. (English) Zbl 1365.14033 Annals of Mathematics Studies 192. Princeton, NJ: Princeton University Press (ISBN 978-0-691-16169-3/pbk; 978-0-691-16168-6/hbk; 978-1-400-88122-2/ebook). vii, 216 p. (2016). Reviewer: Immanuel Halupczok (Leeds) MSC: 14-02 14G22 03C98 03C64 03C60 54F99 PDF BibTeX XML Cite \textit{E. Hrushovski} and \textit{F. Loeser}, Non-Archimedean tame topology and stably dominated types. Princeton, NJ: Princeton University Press (2016; Zbl 1365.14033) Full Text: DOI arXiv Link OpenURL
Boucksom, Sébastien; Favre, Charles; Jonsson, Mattias Singular semipositive metrics in non-Archimedean geometry. (English) Zbl 1346.14065 J. Algebr. Geom. 25, No. 1, 77-139 (2016). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 32U05 PDF BibTeX XML Cite \textit{S. Boucksom} et al., J. Algebr. Geom. 25, No. 1, 77--139 (2016; Zbl 1346.14065) Full Text: DOI arXiv Link OpenURL
Shen, Xu On the Lefschetz trace formula for Lubin-Tate spaces. (English) Zbl 1390.14071 Adv. Geom. 16, No. 1, 33-43 (2016). Reviewer: Jérôme Poineau (Caen) MSC: 14G35 14G22 PDF BibTeX XML Cite \textit{X. Shen}, Adv. Geom. 16, No. 1, 33--43 (2016; Zbl 1390.14071) Full Text: DOI arXiv OpenURL
Bambozzi, Federico; Ben-Bassat, Oren Dagger geometry as Banach algebraic geometry. (English) Zbl 1386.14010 J. Number Theory 162, 391-462 (2016). Reviewer: Filippo Nuccio (Saint-Étienne) MSC: 14A20 13J07 14G22 14E25 18D10 PDF BibTeX XML Cite \textit{F. Bambozzi} and \textit{O. Ben-Bassat}, J. Number Theory 162, 391--462 (2016; Zbl 1386.14010) Full Text: DOI arXiv OpenURL
Andreatta, Fabrizio; Iovita, Adrian; Kim, Minhyong A \(p\)-adic nonabelian criterion for good reduction of curves. (English) Zbl 1347.11051 Duke Math. J. 164, No. 13, 2597-2642 (2015). Reviewer: Feng-Wen An (Hubei) MSC: 11G20 14F30 14G22 14G32 PDF BibTeX XML Cite \textit{F. Andreatta} et al., Duke Math. J. 164, No. 13, 2597--2642 (2015; Zbl 1347.11051) Full Text: DOI Euclid OpenURL
Berkovich, Vladimir G. Finiteness theorems for vanishing cycles of formal schemes. (English) Zbl 1353.14032 Isr. J. Math. 210, 147-191 (2015). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 14F20 PDF BibTeX XML Cite \textit{V. G. Berkovich}, Isr. J. Math. 210, 147--191 (2015; Zbl 1353.14032) Full Text: DOI OpenURL
Poineau, Jérôme; Pulita, Andrea Continuity and finiteness of the radius of convergence of a \(p\)-adic differential equation via potential theory. (English) Zbl 1353.12001 J. Reine Angew. Math. 707, 125-147 (2015). Reviewer: Liang Xiao (Storrs) MSC: 12H25 14G22 PDF BibTeX XML Cite \textit{J. Poineau} and \textit{A. Pulita}, J. Reine Angew. Math. 707, 125--147 (2015; Zbl 1353.12001) Full Text: DOI arXiv OpenURL
Abramovich, Dan; Caporaso, Lucia; Payne, Sam The tropicalization of the moduli space of curves. (La tropicalisation de l’espace des modules des courbes.) (English. French summary) Zbl 1410.14049 Ann. Sci. Éc. Norm. Supér. (4) 48, No. 4, 765-809 (2015). Reviewer: Hulya Arguz (London) MSC: 14T05 14H10 14D20 14G22 PDF BibTeX XML Cite \textit{D. Abramovich} et al., Ann. Sci. Éc. Norm. Supér. (4) 48, No. 4, 765--809 (2015; Zbl 1410.14049) Full Text: arXiv Link OpenURL
Kedlaya, Kiran S. Local and global structure of connections on nonarchimedean curves. (English) Zbl 1379.12007 Compos. Math. 151, No. 6, 1096-1156 (2015); corrigendum ibid. 153, No. 12, 2658-2665 (2017). MSC: 12H25 14G22 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, Compos. Math. 151, No. 6, 1096--1156 (2015; Zbl 1379.12007) Full Text: DOI arXiv OpenURL
Du, Rong; Gao, Yun On the Griffiths numbers for higher dimensional singularities. (Sur les nombres de Griffiths pour les singularités de dimension supérieure.) (English. French summary) Zbl 1331.32016 Ann. Inst. Fourier 65, No. 1, 389-395 (2015). Reviewer: Augusto Nobile (Baton Rouge) MSC: 32S05 14B05 32C20 32S10 32S99 14F05 PDF BibTeX XML Cite \textit{R. Du} and \textit{Y. Gao}, Ann. Inst. Fourier 65, No. 1, 389--395 (2015; Zbl 1331.32016) Full Text: DOI arXiv OpenURL
Mustaţă, Mircea; Nicaise, Johannes Weight functions on non-Archimedean analytic spaces and the Kontsevich-Soibelman skeleton. (English) Zbl 1322.14044 Algebr. Geom. 2, No. 3, 365-404 (2015). MSC: 14G22 13A18 14F17 PDF BibTeX XML Cite \textit{M. Mustaţă} and \textit{J. Nicaise}, Algebr. Geom. 2, No. 3, 365--404 (2015; Zbl 1322.14044) Full Text: DOI arXiv OpenURL
Petsche, Clayton On the distribution of orbits in affine varieties. (English) Zbl 1338.37133 Ergodic Theory Dyn. Syst. 35, No. 7, 2231-2241 (2015). Reviewer: Yu Yasufuku (Tokyo) MSC: 37P55 37P35 37P50 37A05 14J50 14G22 PDF BibTeX XML Cite \textit{C. Petsche}, Ergodic Theory Dyn. Syst. 35, No. 7, 2231--2241 (2015; Zbl 1338.37133) Full Text: DOI arXiv OpenURL
Pulita, Andrea The convergence Newton polygon of a \(p\)-adic differential equation. I: Affinoid domains of the Berkovich affine line. (English) Zbl 1332.12013 Acta Math. 214, No. 2, 307-355 (2015). MSC: 12H25 14G22 PDF BibTeX XML Cite \textit{A. Pulita}, Acta Math. 214, No. 2, 307--355 (2015; Zbl 1332.12013) Full Text: DOI arXiv OpenURL
Jonsson, Mattias Dynamics on Berkovich spaces in low dimensions. (English) Zbl 1401.37103 Ducros, Antoine (ed.) et al., Berkovich spaces and applications. Based on a workshop, Santiago de Chile, Chile, January 2008 and a summer school, Paris, France, June 2010. Cham: Springer (ISBN 978-3-319-11028-8/pbk; 978-3-319-11029-5/ebook). Lecture Notes in Mathematics 2119, 205-366 (2015). MSC: 37P20 37P05 14G22 PDF BibTeX XML Cite \textit{M. Jonsson}, Lect. Notes Math. 2119, 205--366 (2015; Zbl 1401.37103) Full Text: DOI arXiv OpenURL
Amini, Omid; Baker, Matthew; Brugallé, Erwan; Rabinoff, Joseph Lifting harmonic morphisms. I: Metrized complexes and Berkovich skeleta. (English) Zbl 1327.14117 Res. Math. Sci. 2, Paper No. 7, 67 p. (2015). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 14H30 11G20 PDF BibTeX XML Cite \textit{O. Amini} et al., Res. Math. Sci. 2, Paper No. 7, 67 p. (2015; Zbl 1327.14117) Full Text: DOI arXiv OpenURL