Ducros, Antoine Unscrew, cut, burst and flatten Berkovich spaces. (Dévisser, découper, éclater et aplatir les espaces de Berkovich.) (French. English summary) Zbl 07327255 Compos. Math. 157, No. 2, 236-302 (2021). MSC: 14G22 14G99 PDF BibTeX XML Cite \textit{A. Ducros}, Compos. Math. 157, No. 2, 236--302 (2021; Zbl 07327255) Full Text: DOI
Caro, Daniel On the preservation of coherence by extraordinary reverse image of a closed immersion. (Sur la préservation de la cohérence par image inverse extraordinaire d’une immersion fermée.) (French. English summary) Zbl 07309659 Nagoya Math. J. 241, 125-170 (2021). MSC: 14F30 PDF BibTeX XML Cite \textit{D. Caro}, Nagoya Math. J. 241, 125--170 (2021; Zbl 07309659) Full Text: DOI
Vilsmeier, Christian A comparison of the real and non-Archimedean Monge-Ampère operator. (English) Zbl 07303588 Math. Z. 297, No. 1-2, 633-668 (2021). MSC: 32P05 32W20 PDF BibTeX XML Cite \textit{C. Vilsmeier}, Math. Z. 297, No. 1--2, 633--668 (2021; Zbl 07303588) Full Text: DOI
Boucksom, Sébastien; Eriksson, Dennis Spaces of norms, determinant of cohomology and Fekete points in non-Archimedean geometry. (English) Zbl 07298467 Adv. Math. 378, Article ID 107501, 125 p. (2021). MSC: 32P05 32L05 PDF BibTeX XML Cite \textit{S. Boucksom} and \textit{D. Eriksson}, Adv. Math. 378, Article ID 107501, 125 p. (2021; Zbl 07298467) Full Text: DOI
Temkin, Michael Topological transcendence degree. (English) Zbl 07285330 J. Algebra 568, 35-60 (2021). MSC: 14G22 PDF BibTeX XML Cite \textit{M. Temkin}, J. Algebra 568, 35--60 (2021; Zbl 07285330) Full Text: DOI
Häberli, Simon Satake compactification of analytic Drinfeld modular varieties. (English) Zbl 07276951 J. Number Theory 219, 1-92 (2021). MSC: 11G09 11G18 14M27 11F52 PDF BibTeX XML Cite \textit{S. Häberli}, J. Number Theory 219, 1--92 (2021; Zbl 07276951) Full Text: DOI
Hartl, Urs; Singh, Rajneesh Kumar Product formulas for periods of CM abelian varieties and the function field analog. (English) Zbl 07257222 J. Number Theory 218, 62-151 (2021). MSC: 11G09 11G15 11R42 PDF BibTeX XML Cite \textit{U. Hartl} and \textit{R. K. Singh}, J. Number Theory 218, 62--151 (2021; Zbl 07257222) Full Text: DOI
Pong, Wai Yan Addendum to “Applications of differential algebra to algebraic independence of arithmetic functions”. (English) Zbl 1454.11134 Acta Arith. 196, No. 3, 325-327 (2020). MSC: 11J85 11A25 12H05 11J91 11J72 PDF BibTeX XML Cite \textit{W. Y. Pong}, Acta Arith. 196, No. 3, 325--327 (2020; Zbl 1454.11134) Full Text: DOI
Gezmiş, Oğuz Deformation of multiple zeta values and their logarithmic interpretation in positive characteristic. (English) Zbl 07297931 Doc. Math. 25, 2355-2411 (2020). MSC: 11R59 11M38 11M32 PDF BibTeX XML Cite \textit{O. Gezmiş}, Doc. Math. 25, 2355--2411 (2020; Zbl 07297931) Full Text: DOI
Porta, Mauro; Yu, Tony Yue Representability theorem in derived analytic geometry. (English) Zbl 07286844 J. Eur. Math. Soc. (JEMS) 22, No. 12, 3867-3951 (2020). Reviewer: Eric Ahlqvist (Stockholm) MSC: 14D23 14G22 32G13 14A30 PDF BibTeX XML Cite \textit{M. Porta} and \textit{T. Y. Yu}, J. Eur. Math. Soc. (JEMS) 22, No. 12, 3867--3951 (2020; Zbl 07286844) Full Text: DOI
Khalfallah, Adel; Kosarew, Siegmund Linking complex analytic to nonstandard algebraic geometry. (English) Zbl 1453.32008 Abh. Math. Semin. Univ. Hamb. 90, No. 1, 1-15 (2020). MSC: 32C15 14A20 32Q15 PDF BibTeX XML Cite \textit{A. Khalfallah} and \textit{S. Kosarew}, Abh. Math. Semin. Univ. Hamb. 90, No. 1, 1--15 (2020; Zbl 1453.32008) Full Text: DOI
Azzouz, Tinhinane A. Spectrum of a linear differential equation with constant coefficients. (English) Zbl 07263170 Math. Z. 296, No. 3-4, 1613-1644 (2020). MSC: 12H25 PDF BibTeX XML Cite \textit{T. A. Azzouz}, Math. Z. 296, No. 3--4, 1613--1644 (2020; Zbl 07263170) Full Text: DOI
Sheth, Mihir Locally analytic representations in the étale coverings of the Lubin-Tate moduli space. (English) Zbl 07261522 Isr. J. Math. 239, No. 1, 369-433 (2020). MSC: 22E50 14L05 11S80 46S10 11G09 PDF BibTeX XML Cite \textit{M. Sheth}, Isr. J. Math. 239, No. 1, 369--433 (2020; Zbl 07261522) Full Text: DOI
Hartl, Urs; Kim, Wansu Local shtukas, Hodge-Pink structures and Galois representations. (English) Zbl 1440.14113 Böckle, Gebhard (ed.) et al., \(t\)-motives: Hodge structures, transcendence and other motivic aspects. EMS Series of Congress Reports. Zürich: European Mathematical Society (EMS). 183-259 (2020). MSC: 14F30 14C30 11F70 14G20 14G35 11G09 PDF BibTeX XML Cite \textit{U. Hartl} and \textit{W. Kim}, in: \(t\)-motives: Hodge structures, transcendence and other motivic aspects. Zürich: European Mathematical Society (EMS). 183--259 (2020; Zbl 1440.14113) Full Text: DOI
Sheridan, Nick; Smith, Ivan Rational equivalence and Lagrangian tori on K3 surfaces. (English) Zbl 07226606 Comment. Math. Helv. 95, No. 2, 301-337 (2020). MSC: 53D37 14C25 14J28 PDF BibTeX XML Cite \textit{N. Sheridan} and \textit{I. Smith}, Comment. Math. Helv. 95, No. 2, 301--337 (2020; Zbl 07226606) Full Text: DOI
Mihara, Tomoki On maximal ideals which are also minimal prime ideals in certain Banach rings. (English) Zbl 07221183 Fundam. Math. 250, No. 2, 179-209 (2020). MSC: 46S10 46J20 54F50 03E35 PDF BibTeX XML Cite \textit{T. Mihara}, Fundam. Math. 250, No. 2, 179--209 (2020; Zbl 07221183) Full Text: DOI
Achimescu, S.; Alexandru, V.; Andronescu, C. S. A notion analogous to the discriminant for transcendental elements in certain extensions of local fields. (English) Zbl 07219814 Rend. Semin. Mat. Univ. Padova 143, 105-112 (2020). Reviewer: Gerard Leloup (Le Mans) MSC: 11S99 13A18 12J05 12J10 12J25 PDF BibTeX XML Cite \textit{S. Achimescu} et al., Rend. Semin. Mat. Univ. Padova 143, 105--112 (2020; Zbl 07219814) Full Text: DOI
Tsushima, Takahiro Good reduction of affinoids in the Lubin-Tate curve in even equal characteristic. I. (English) Zbl 07207002 J. Number Theory 214, 414-439 (2020). MSC: 11G20 11F80 PDF BibTeX XML Cite \textit{T. Tsushima}, J. Number Theory 214, 414--439 (2020; Zbl 07207002) Full Text: DOI
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
Cubides Kovacsics, Pablo; Kuhlmann, Franz-Viktor; Rzepka, Anna On valuation independence and defectless extensions of valued fields. (English) Zbl 1453.12008 J. Algebra 555, 69-95 (2020). Reviewer: Carla Massaza (Torino) MSC: 12J10 13A18 03C98 12L12 PDF BibTeX XML Cite \textit{P. Cubides Kovacsics} et al., J. Algebra 555, 69--95 (2020; Zbl 1453.12008) Full Text: DOI
Johansson, Christian; Newton, James; Sorensen, Claus Local Langlands correspondence in rigid families. (English) Zbl 07179044 Pac. J. Math. 304, No. 1, 65-102 (2020). MSC: 11F70 11F80 PDF BibTeX XML Cite \textit{C. Johansson} et al., Pac. J. Math. 304, No. 1, 65--102 (2020; Zbl 07179044) Full Text: DOI
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
Bader, Uri; Furman, Alex Super-rigidity and non-linearity for lattices in products. (English) Zbl 1435.22010 Compos. Math. 156, No. 1, 158-178 (2020). Reviewer: Anton Deitmar (Tübingen) MSC: 22E40 22D40 20F65 PDF BibTeX XML Cite \textit{U. Bader} and \textit{A. Furman}, Compos. Math. 156, No. 1, 158--178 (2020; Zbl 1435.22010) Full Text: DOI arXiv
Amorim, Lino Open and closed mirror symmetry. (English) Zbl 07301885 Bol. Soc. Port. Mat. 77, 15-26 (2019). MSC: 53D37 18G70 PDF BibTeX XML Cite \textit{L. Amorim}, Bol. Soc. Port. Mat. 77, 15--26 (2019; Zbl 07301885) Full Text: Link
Liu, Zheng Nearly overconvergent Siegel modular forms. (Formes modulaires de Siegel quasi surconvergentes.) (English. French summary) Zbl 1447.11060 Ann. Inst. Fourier 69, No. 6, 2439-2506 (2019). MSC: 11F46 11F33 11F60 14J15 PDF BibTeX XML Cite \textit{Z. Liu}, Ann. Inst. Fourier 69, No. 6, 2439--2506 (2019; Zbl 1447.11060) Full Text: DOI
Mehmeti, Vlerë Patching over Berkovich curves and quadratic forms. (English) Zbl 07128532 Compos. Math. 155, No. 12, 2399-2438 (2019). MSC: 11E08 14G22 PDF BibTeX XML Cite \textit{V. Mehmeti}, Compos. Math. 155, No. 12, 2399--2438 (2019; Zbl 07128532) Full Text: DOI arXiv
Gubler, Walter; Jell, Philipp; Künnemann, Klaus; Martin, Florent Continuity of plurisubharmonic envelopes in non-Archimedean geometry and test ideals. With an appendix by José Ignacio Burgos Gil and Martín Sombra. (Continuité des enveloppes plurisousharmoniques en géométrie non-archimédienne et idéaux test.) (English. French summary) Zbl 1434.32035 Ann. Inst. Fourier 69, No. 5, 2331-2376 (2019). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 32P05 13A35 14G22 32U05 PDF BibTeX XML Cite \textit{W. Gubler} et al., Ann. Inst. Fourier 69, No. 5, 2331--2376 (2019; Zbl 1434.32035) Full Text: DOI
Gekeler, Ernst-Ulrich Towers of \(\mathrm{GL}(r)\)-type of modular curves. (English) Zbl 1444.11124 J. Reine Angew. Math. 754, 87-141 (2019). Reviewer: Gabriel D. Villa Salvador (Ciudad de México) MSC: 11G09 11G18 11R32 11R58 14G35 PDF BibTeX XML Cite \textit{E.-U. Gekeler}, J. Reine Angew. Math. 754, 87--141 (2019; Zbl 1444.11124) Full Text: DOI
Dupré, Nicolas Rigid analytic quantum groups and quantum Arens-Michael envelopes. (English) Zbl 07103947 J. Algebra 537, 98-146 (2019). MSC: 16T05 17B37 22E46 PDF BibTeX XML Cite \textit{N. Dupré}, J. Algebra 537, 98--146 (2019; Zbl 07103947) Full Text: DOI arXiv
Tsushima, Takahiro Good reduction of affinoids in the Lubin-Tate curve in even equal characteristic. II. (English) Zbl 07096772 Res. Number Theory 5, No. 3, Paper No. 28, 28 p. (2019). MSC: 11G25 11F80 PDF BibTeX XML Cite \textit{T. Tsushima}, Res. Number Theory 5, No. 3, Paper No. 28, 28 p. (2019; Zbl 07096772) Full Text: DOI
Kerz, Moritz; Saito, Shuji; Tamme, Georg \(K\)-theory of non-Archimedean rings. I. (English) Zbl 1442.19006 Doc. Math. 24, 1365-1411 (2019). Reviewer: Piotr Krasoń (Szczecin) MSC: 19D25 14G22 PDF BibTeX XML Cite \textit{M. Kerz} et al., Doc. Math. 24, 1365--1411 (2019; Zbl 1442.19006) Full Text: DOI
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
Fu, Lei Deformations and rigidity of \(\ell\)-adic sheaves. (English) Zbl 07078827 Adv. Math. 351, 947-966 (2019). MSC: 14D15 14G22 PDF BibTeX XML Cite \textit{L. Fu}, Adv. Math. 351, 947--966 (2019; Zbl 07078827) Full Text: DOI arXiv
Gubler, Walter; Künnemann, Klaus Positivity properties of metrics and delta-forms. (English) Zbl 07075968 J. Reine Angew. Math. 752, 141-177 (2019). MSC: 14G22 PDF BibTeX XML Cite \textit{W. Gubler} and \textit{K. Künnemann}, J. Reine Angew. Math. 752, 141--177 (2019; Zbl 07075968) Full Text: DOI
Stevenson, Matthew A non-Archimedean Ohsawa-Takegoshi extension theorem. (English) Zbl 1417.32026 Math. Z. 291, No. 1-2, 279-302 (2019). MSC: 32P05 32U05 PDF BibTeX XML Cite \textit{M. Stevenson}, Math. Z. 291, No. 1--2, 279--302 (2019; Zbl 1417.32026) Full Text: DOI arXiv
Gubler, Walter; Martin, Florent On Zhang’s semipositive metrics. (English) Zbl 07050188 Doc. Math. 24, 331-372 (2019). MSC: 14G40 14G22 PDF BibTeX XML Cite \textit{W. Gubler} and \textit{F. Martin}, Doc. Math. 24, 331--372 (2019; Zbl 07050188) Full Text: DOI arXiv
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
Birkbeck, Christopher The Jacquet-Langlands correspondence for overconvergent Hilbert modular forms. (English) Zbl 1443.11061 Int. J. Number Theory 15, No. 3, 479-504 (2019). MSC: 11F41 11F33 14G22 PDF BibTeX XML Cite \textit{C. Birkbeck}, Int. J. Number Theory 15, No. 3, 479--504 (2019; Zbl 1443.11061) Full Text: DOI arXiv
Stoll, Michael Uniform bounds for the number of rational points on hyperelliptic curves of small Mordell-Weil rank. (English) Zbl 1428.11122 J. Eur. Math. Soc. (JEMS) 21, No. 3, 923-956 (2019). Reviewer: Sungkon Chang (Savannah) MSC: 11G30 14G05 14G25 14H25 14H40 PDF BibTeX XML Cite \textit{M. Stoll}, J. Eur. Math. Soc. (JEMS) 21, No. 3, 923--956 (2019; Zbl 1428.11122) Full Text: DOI arXiv
Forey, Arthur Virtual rigid motives of semi-algebraic sets. (English) Zbl 1411.14014 Sel. Math., New Ser. 25, No. 1, Paper No. 6, 43 p. (2019). Reviewer: Immanuel Halupczok (Leeds) MSC: 14C15 14F42 03C60 14G22 32S30 PDF BibTeX XML Cite \textit{A. Forey}, Sel. Math., New Ser. 25, No. 1, Paper No. 6, 43 p. (2019; Zbl 1411.14014) Full Text: DOI arXiv
Jing, Rui-Juan; Yuan, Chun-Ming; Gao, Xiao-Shan A polynomial-time algorithm to compute generalized Hermite normal forms of matrices over \(\mathbb{Z} [x]\). (English) Zbl 1411.68210 Theor. Comput. Sci. 755, 89-109 (2019). MSC: 68W30 13P10 15A21 PDF BibTeX XML Cite \textit{R.-J. Jing} et al., Theor. Comput. Sci. 755, 89--109 (2019; Zbl 1411.68210) Full Text: DOI
Ardakov, Konstantin; Wadsley, Simon J. \(\widehat{\mathscr{D}}\)-modules on rigid analytic spaces. I. (English) Zbl 1439.14064 J. Reine Angew. Math. 747, 221-275 (2019). MSC: 14F10 14G22 PDF BibTeX XML Cite \textit{K. Ardakov} and \textit{S. J. Wadsley}, J. Reine Angew. Math. 747, 221--275 (2019; Zbl 1439.14064) Full Text: DOI
Leung, Chi-Wai; Ng, Chi-Keung Berkovich spectra of elements in Banach rings. (English) Zbl 1434.46049 J. Number Theory 195, 184-216 (2019). Reviewer: Enno Nagel (Paris) MSC: 46S10 47S10 PDF BibTeX XML Cite \textit{C.-W. Leung} and \textit{C.-K. Ng}, J. Number Theory 195, 184--216 (2019; Zbl 1434.46049) Full Text: DOI arXiv
Vezzani, Alberto Rigid cohomology via the tilting equivalence. (English) Zbl 1443.14026 J. Pure Appl. Algebra 223, No. 2, 818-843 (2019). MSC: 14F42 14F20 14G22 14F40 PDF BibTeX XML Cite \textit{A. Vezzani}, J. Pure Appl. Algebra 223, No. 2, 818--843 (2019; Zbl 1443.14026) Full Text: DOI
Clozel, Laurent Globally analytic \(p\)-adic representations of the pro-\(p\) Iwahori subgroup of \(\mathrm{GL}(2)\) and base change. II: A Steinberg tensor product theorem. (English) Zbl 07152420 Cogdell, James W. (ed.) et al., Cohomology of arithmetic groups. On the occasion of Joachim Schwermer’s 66th birthday, Bonn, Germany, June 2016. Cham: Springer (ISBN 978-3-319-95548-3/hbk; 978-3-319-95549-0/ebook). Springer Proceedings in Mathematics & Statistics 245, 1-33 (2018). Reviewer: Wei Feng (Beijing) MSC: 11R23 11F70 14G22 PDF BibTeX XML Cite \textit{L. Clozel}, in: Cohomology of arithmetic groups. On the occasion of Joachim Schwermer's 66th birthday, Bonn, Germany, June 2016. Cham: Springer. 1--33 (2018; Zbl 07152420) Full Text: DOI
Shah, Shrenik Interpolating Hodge-Tate and de Rham periods. (English) Zbl 1422.14032 Res. Math. Sci. 5, No. 2, Paper No. 17, 47 p. (2018). Reviewer: Dingxin Zhang (Beijing) MSC: 14G22 PDF BibTeX XML Cite \textit{S. Shah}, Res. Math. Sci. 5, No. 2, Paper No. 17, 47 p. (2018; Zbl 1422.14032) Full Text: DOI
Bhatt, Bhargav; Morrow, Matthew; Scholze, Peter Integral \(p\)-adic Hodge theory. (English) Zbl 1446.14011 Publ. Math., Inst. Hautes Étud. Sci. 128, 219-397 (2018). Reviewer: Wilberd van der Kallen (Utrecht) MSC: 14F30 11G25 14B99 13A35 14G45 PDF BibTeX XML Cite \textit{B. Bhatt} et al., Publ. Math., Inst. Hautes Étud. Sci. 128, 219--397 (2018; Zbl 1446.14011) Full Text: DOI arXiv
Scholze, Peter On the \(p\)-adic cohomology of the Lubin-Tate tower. (English. French summary) Zbl 1419.14031 Ann. Sci. Éc. Norm. Supér. (4) 51, No. 4, 811-863 (2018). Reviewer: Judith Ludwig (Heidelberg) MSC: 14G22 11S37 11F80 11F85 PDF BibTeX XML Cite \textit{P. Scholze}, Ann. Sci. Éc. Norm. Supér. (4) 51, No. 4, 811--863 (2018; Zbl 1419.14031) Full Text: Link arXiv
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
Fantini, Lorenzo Normalized Berkovich spaces and surface singularities. (English) Zbl 1423.14171 Trans. Am. Math. Soc. 370, No. 11, 7815-7859 (2018). MSC: 14G22 14B05 14E15 14J17 PDF BibTeX XML Cite \textit{L. Fantini}, Trans. Am. Math. Soc. 370, No. 11, 7815--7859 (2018; Zbl 1423.14171) Full Text: DOI
Ardakov, Konstantin; Wadsley, Simon \(\widehat{\mathcal {D}}\)-modules on rigid analytic spaces. II: Kashiwara’s equivalence. (English) Zbl 1423.14169 J. Algebr. Geom. 27, No. 4, 647-701 (2018). MSC: 14G22 14F10 PDF BibTeX XML Cite \textit{K. Ardakov} and \textit{S. Wadsley}, J. Algebr. Geom. 27, No. 4, 647--701 (2018; Zbl 1423.14169) Full Text: DOI
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
Kuschkowitz, Mark Rigid cohomology of Drinfeld’s upper half space over a finite field. (English) Zbl 1422.11113 Math. Z. 289, No. 1-2, 279-308 (2018). MSC: 11F52 14G22 PDF BibTeX XML Cite \textit{M. Kuschkowitz}, Math. Z. 289, No. 1--2, 279--308 (2018; Zbl 1422.11113) Full Text: DOI
Kedlaya, Kiran S. On nonarchimedean Banach fields. (English) Zbl 1425.12008 Doc. Math. 23, 171-188 (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12J25 13J10 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, Doc. Math. 23, 171--188 (2018; Zbl 1425.12008) Full Text: DOI
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
Bambozzi, Federico; Ben-Bassat, Oren; Kremnizer, Kobi Stein domains in Banach algebraic geometry. (English) Zbl 1423.32022 J. Funct. Anal. 274, No. 7, 1865-1927 (2018). MSC: 32P05 14G22 14F05 32Q28 PDF BibTeX XML Cite \textit{F. Bambozzi} et al., J. Funct. Anal. 274, No. 7, 1865--1927 (2018; Zbl 1423.32022) Full Text: DOI
Rad, Anahita Eslami; Magnot, Jean-Pierre; Reyes, Enrique G. The Cauchy problem of the Kadomtsev-Petviashvili hierarchy with arbitrary coefficient algebra. (English) Zbl 1420.37084 J. Nonlinear Math. Phys. 24, No. Suppl. 1, 103-120 (2017). MSC: 37K10 35Q53 PDF BibTeX XML Cite \textit{A. E. Rad} et al., J. Nonlinear Math. Phys. 24, No. Suppl. 1, 103--120 (2017; Zbl 1420.37084) Full Text: DOI
Pellarin, Federico On a variant of Schanuel conjecture for the Carlitz exponential. (English. French summary) Zbl 1400.11110 J. Théor. Nombres Bordx. 29, No. 3, 845-873 (2017). Reviewer: Michel Waldschmidt (Paris) MSC: 11G09 11J93 11M38 PDF BibTeX XML Cite \textit{F. Pellarin}, J. Théor. Nombres Bordx. 29, No. 3, 845--873 (2017; Zbl 1400.11110) Full Text: DOI
Bergdall, John Paraboline variation over \(p\)-adic families of \((\varphi,\Gamma)\)-modules. (English) Zbl 1427.11047 Compos. Math. 153, No. 1, 132-174 (2017). MSC: 11F80 11F85 11F33 11F55 14F30 PDF BibTeX XML Cite \textit{J. Bergdall}, Compos. Math. 153, No. 1, 132--174 (2017; Zbl 1427.11047) Full Text: DOI arXiv
Ben-Bassat, Oren; Kremnizer, Kobi Non-Archimedean analytic geometry as relative algebraic geometry. (English. French summary) Zbl 1401.14128 Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 1, 49-126 (2017). MSC: 14G22 18D10 18E30 32P05 PDF BibTeX XML Cite \textit{O. Ben-Bassat} and \textit{K. Kremnizer}, Ann. Fac. Sci. Toulouse, Math. (6) 26, No. 1, 49--126 (2017; Zbl 1401.14128) Full Text: DOI
Makiyama, Kenji A \(p\)-adic analytic family of the \(D\)-th Shintani lifting for a Coleman family and congruences between the central \(L\)-values. (English) Zbl 1427.11040 J. Number Theory 181, 164-199 (2017). MSC: 11F33 11F37 11F27 PDF BibTeX XML Cite \textit{K. Makiyama}, J. Number Theory 181, 164--199 (2017; Zbl 1427.11040) Full Text: DOI
Dinis, Bruno; van den Berg, Imme On the quotient class of non-Archimedean fields. (English) Zbl 1387.12007 Indag. Math., New Ser. 28, No. 4, 784-795 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12J15 11S99 06F05 PDF BibTeX XML Cite \textit{B. Dinis} and \textit{I. van den Berg}, Indag. Math., New Ser. 28, No. 4, 784--795 (2017; Zbl 1387.12007) Full Text: DOI
Martin, Florent 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
Hansen, David; Thorne, Jack A. On the \(\mathrm {GL}_n\)-eigenvariety and a conjecture of Venkatesh. (English) Zbl 1430.11078 Sel. Math., New Ser. 23, No. 2, 1205-1234 (2017). MSC: 11F75 11F85 11F70 14F30 PDF BibTeX XML Cite \textit{D. Hansen} and \textit{J. A. Thorne}, Sel. Math., New Ser. 23, No. 2, 1205--1234 (2017; Zbl 1430.11078) Full Text: DOI
Breuil, Christophe; Hellmann, Eugen; Schraen, Benjamin A modular interpretation of the trianguline variety. (Une interprétation modulaire de la variété trianguline.) (French. English summary) Zbl 1430.11079 Math. Ann. 367, No. 3-4, 1587-1645 (2017). MSC: 11F80 14F30 11F85 PDF BibTeX XML Cite \textit{C. Breuil} et al., Math. Ann. 367, No. 3--4, 1587--1645 (2017; Zbl 1430.11079) Full Text: DOI
Nowak, Krzysztof Jan Some results of algebraic geometry over Henselian rank one valued fields. (English) Zbl 1433.14051 Sel. Math., New Ser. 23, No. 1, 455-495 (2017). MSC: 14P10 03C10 14G27 12J25 PDF BibTeX XML Cite \textit{K. J. Nowak}, Sel. Math., New Ser. 23, No. 1, 455--495 (2017; Zbl 1433.14051) Full Text: DOI arXiv
Furusho, Hidekazu; Komori, Yasushi; Matsumoto, Kohji; Tsumura, Hirofumi Fundamentals of \(p\)-adic multiple \(L\)-functions and evaluation of their special values. (English) Zbl 1367.11082 Sel. Math., New Ser. 23, No. 1, 39-100 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 11S40 11G55 11M32 11S80 PDF BibTeX XML Cite \textit{H. Furusho} et al., Sel. Math., New Ser. 23, No. 1, 39--100 (2017; Zbl 1367.11082) Full Text: DOI arXiv
Vezzani, Alberto Effective motives with and without transfers in characteristic \(p\). (English) Zbl 1401.14120 Adv. Math. 306, 852-879 (2017). MSC: 14F42 14C15 14G22 PDF BibTeX XML Cite \textit{A. Vezzani}, Adv. Math. 306, 852--879 (2017; Zbl 1401.14120) Full Text: DOI
Iurato, Giuseppe; Khrennikov, Andrei; Murtagh, F. Formal foundations for the origins of human consciousness. (English) Zbl 1407.91210 \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 4, 249-279 (2016). MSC: 91E30 26E30 11E95 PDF BibTeX XML Cite \textit{G. Iurato} et al., \(p\)-Adic Numbers Ultrametric Anal. Appl. 8, No. 4, 249--279 (2016; Zbl 1407.91210) Full Text: DOI
Newton, James Level raising for \(p\)-adic Hilbert modular forms. (English. French summary) Zbl 1414.11059 J. Théor. Nombres Bordx. 28, No. 3, 621-653 (2016). MSC: 11F41 11F85 11F33 PDF BibTeX XML Cite \textit{J. Newton}, J. Théor. Nombres Bordx. 28, No. 3, 621--653 (2016; Zbl 1414.11059) Full Text: DOI arXiv
Pilloni, Vincent; Stroh, Benoît Coherent cohomology and Galois representations. (Cohomologie cohérente et représentations galoisiennes.) (French. English summary) Zbl 1357.14033 Ann. Math. Qué. 40, No. 1, 167-202 (2016). Reviewer: Thong Nguyen Quang Do (Besançon) MSC: 14G35 11G18 11F80 11F46 PDF BibTeX XML Cite \textit{V. Pilloni} and \textit{B. Stroh}, Ann. Math. Qué. 40, No. 1, 167--202 (2016; Zbl 1357.14033) Full Text: DOI
Mihara, Tomoki On Tate’s acyclicity and uniformity of Berkovich spectra and adic spectra. (English) Zbl 1375.14091 Isr. J. Math. 216, No. 1, 61-105 (2016). MSC: 14G22 46H05 11S80 12J20 47A10 46S10 PDF BibTeX XML Cite \textit{T. Mihara}, Isr. J. Math. 216, No. 1, 61--105 (2016; Zbl 1375.14091) Full Text: DOI arXiv
Hellmann, Eugen Families of \(p\)-adic Galois representations and \((\phi,\Gamma)\)-modules. (English) Zbl 1406.11116 Comment. Math. Helv. 91, No. 4, 721-749 (2016). Reviewer: Martha Rzedowski-Calderón (MR3566522) MSC: 11S20 11F80 PDF BibTeX XML Cite \textit{E. Hellmann}, Comment. Math. Helv. 91, No. 4, 721--749 (2016; Zbl 1406.11116) Full Text: DOI arXiv
Kochubei, Anatoly N. Non-Archimedean duality: algebras, groups, and multipliers. (English) Zbl 1367.16033 Algebr. Represent. Theory 19, No. 5, 1081-1108 (2016). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 16T05 20G42 43A40 46H99 46S10 12J25 PDF BibTeX XML Cite \textit{A. N. Kochubei}, Algebr. Represent. Theory 19, No. 5, 1081--1108 (2016; Zbl 1367.16033) Full Text: DOI arXiv
Bergdall, John; Pollack, Robert Arithmetic properties of Fredholm series for \(p\)-adic modular forms. (English) Zbl 1368.11042 Proc. Lond. Math. Soc. (3) 113, No. 4, 419-444 (2016). Reviewer: Soumya Das (Bangalore) MSC: 11F33 11F85 PDF BibTeX XML Cite \textit{J. Bergdall} and \textit{R. Pollack}, Proc. Lond. Math. Soc. (3) 113, No. 4, 419--444 (2016; Zbl 1368.11042) Full Text: DOI arXiv
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
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
Gubler, Walter Forms and currents on the analytification of an algebraic variety (after Chambert-Loir and Ducros). (English) Zbl 1349.14100 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, 1-30 (2016). MSC: 14G22 14T05 PDF BibTeX XML Cite \textit{W. Gubler}, 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. 1--30 (2016; Zbl 1349.14100) Full Text: DOI arXiv
Obus, Andrew; Wewers, Stefan Wild ramification kinks. (English) Zbl 1377.14007 Res. Math. Sci. 3, Paper No. 21, 27 p. (2016). MSC: 14H30 14H37 14D99 14G22 11G20 PDF BibTeX XML Cite \textit{A. Obus} and \textit{S. Wewers}, Res. Math. Sci. 3, Paper No. 21, 27 p. (2016; Zbl 1377.14007) Full Text: DOI arXiv
Choi, Dohoon; Taguchi, Yuichiro On the Hecke fields of Galois representations. (English) Zbl 1417.11098 Bull. Lond. Math. Soc. 48, No. 5, 813-821 (2016). MSC: 11F80 11F30 PDF BibTeX XML Cite \textit{D. Choi} and \textit{Y. Taguchi}, Bull. Lond. Math. Soc. 48, No. 5, 813--821 (2016; Zbl 1417.11098) Full Text: DOI
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
Achimescu, Sever; Alexandru, Victor; Stelian Andronescu, Corneliu On the closed subfields of \(\overset\simeq {\mathbb{Q}}_p\). (English) Zbl 1351.12004 Open Math. 14, 347-351 (2016). MSC: 12J25 46S10 PDF BibTeX XML Cite \textit{S. Achimescu} et al., Open Math. 14, 347--351 (2016; Zbl 1351.12004) Full Text: DOI
Gubler, Walter; Rabinoff, Joseph; Werner, Annette Skeletons and tropicalizations. (English) Zbl 1370.14024 Adv. Math. 294, 150-215 (2016). Reviewer: Alejandro Soto (Frankfurt am Main) MSC: 14G22 14T05 PDF BibTeX XML Cite \textit{W. Gubler} et al., Adv. Math. 294, 150--215 (2016; Zbl 1370.14024) Full Text: DOI arXiv
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
Mihara, Tomoki Spectral theory for \(p\)-adic operators. (English) Zbl 1338.47127 J. Funct. Anal. 270, No. 2, 748-786 (2016). Reviewer: Cristina Pérez-García (Santander) MSC: 47S10 47B15 PDF BibTeX XML Cite \textit{T. Mihara}, J. Funct. Anal. 270, No. 2, 748--786 (2016; Zbl 1338.47127) Full Text: DOI arXiv
Weinstein, Jared Reciprocity laws and Galois representations: recent breakthroughs. (English) Zbl 1330.11071 Bull. Am. Math. Soc., New Ser. 53, No. 1, 1-39 (2016). Reviewer: Abdelmalek Azizi (Oujda) MSC: 11R37 11R39 11F80 PDF BibTeX XML Cite \textit{J. Weinstein}, Bull. Am. Math. Soc., New Ser. 53, No. 1, 1--39 (2016; Zbl 1330.11071) Full Text: DOI
Kedlaya, Kiran S. Reified valuations and adic spectra. (English) Zbl 1349.14096 Res. Number Theory 1, Paper No. 20, 42 p. (2015). MSC: 14G20 13J20 14G22 14L05 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, Res. Number Theory 1, Paper No. 20, 42 p. (2015; Zbl 1349.14096) Full Text: DOI arXiv
Scholze, Peter On torsion in the cohomology of locally symmetric varieties. (English) Zbl 1345.14031 Ann. Math. (2) 182, No. 3, 945-1066 (2015). Reviewer: Gerd Faltings (Bonn) MSC: 14G20 11F46 11S37 14G35 11G18 22E50 PDF BibTeX XML Cite \textit{P. Scholze}, Ann. Math. (2) 182, No. 3, 945--1066 (2015; Zbl 1345.14031) Full Text: DOI arXiv
Martin, Florent A note on tropicalization in the context of Berkovich spaces. (English) Zbl 1349.14101 Isr. J. Math. 210, 323-334 (2015). MSC: 14G22 14T05 03C10 32B20 32P05 PDF BibTeX XML Cite \textit{F. Martin}, Isr. J. Math. 210, 323--334 (2015; Zbl 1349.14101) Full Text: DOI
Hu, Haoyu Ramification and nearby cycles for \(\ell\)-adic sheaves on relative curves. (English) Zbl 1335.14006 Tohoku Math. J. (2) 67, No. 2, 153-194 (2015). Reviewer: Liang Xiao (Storrs) MSC: 14F20 11S15 PDF BibTeX XML Cite \textit{H. Hu}, Tohoku Math. J. (2) 67, No. 2, 153--194 (2015; Zbl 1335.14006) Full Text: DOI Euclid arXiv
Schmidt, Tobias Forms of an affinoid disc and ramification. (Formes d’un disque affinoïde et ramification.) (English. French summary) Zbl 1329.14058 Ann. Inst. Fourier 65, No. 3, 1301-1347 (2015). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 13B02 16W70 PDF BibTeX XML Cite \textit{T. Schmidt}, Ann. Inst. Fourier 65, No. 3, 1301--1347 (2015; Zbl 1329.14058) Full Text: DOI arXiv
Luu, Martin Deformation theory and local-global compatibility of Langlands correspondences. (English) Zbl 1396.11086 Mem. Am. Math. Soc. 1123, vii, 99 p. (2015). MSC: 11F80 11F55 PDF BibTeX XML Cite \textit{M. Luu}, Deformation theory and local-global compatibility of Langlands correspondences. Providence, RI: American Mathematical Society (AMS) (2015; Zbl 1396.11086) Full Text: DOI
Xiao, L.; Zhukov, Igor’ Borisovich Ramification of higher local fields, approaches and questions. (English) Zbl 1369.11079 St. Petersbg. Math. J. 26, No. 5, 695-740 (2015); translation from Algebra Anal. 26, No. 5, 1-63 (2014). MSC: 11S15 11-02 PDF BibTeX XML Cite \textit{L. Xiao} and \textit{I. B. Zhukov}, St. Petersbg. Math. J. 26, No. 5, 695--740 (2015; Zbl 1369.11079); translation from Algebra Anal. 26, No. 5, 1--63 (2014) Full Text: DOI
Fan, Shilei; Liao, Lingmin Dynamics of convergent power series on the integral ring of a finite extension of \(\mathbb{Q}_p\). (English) Zbl 1392.37109 J. Differ. Equations 259, No. 4, 1628-1648 (2015). MSC: 37P10 11S82 37B05 PDF BibTeX XML Cite \textit{S. Fan} and \textit{L. Liao}, J. Differ. Equations 259, No. 4, 1628--1648 (2015; Zbl 1392.37109) Full Text: DOI arXiv
Loeffler, David; Venjakob, Otmar; Zerbes, Sarah Livia Local epsilon isomorphisms. (English) Zbl 1322.11112 Kyoto J. Math. 55, No. 1, 63-127 (2015). Reviewer: Andreas Nickel (Bielefeld) MSC: 11R23 11S40 PDF BibTeX XML Cite \textit{D. Loeffler} et al., Kyoto J. Math. 55, No. 1, 63--127 (2015; Zbl 1322.11112) Full Text: DOI Euclid arXiv
Demangos, Luca \(T\)-modules and Pila-Wilkie estimates. (English) Zbl 1321.11067 J. Number Theory 154, 201-277 (2015). Reviewer: Michel Waldschmidt (Paris) MSC: 11G09 03C64 11D45 11J93 12J25 14G17 26E30 30G06 PDF BibTeX XML Cite \textit{L. Demangos}, J. Number Theory 154, 201--277 (2015; Zbl 1321.11067) Full Text: DOI arXiv
Payne, Sam Topology of Nonarchimedean analytic spaces and relations to complex algebraic geometry. (English) Zbl 1317.32046 Bull. Am. Math. Soc., New Ser. 52, No. 2, 223-247 (2015). MSC: 32P99 32C18 PDF BibTeX XML Cite \textit{S. Payne}, Bull. Am. Math. Soc., New Ser. 52, No. 2, 223--247 (2015; Zbl 1317.32046) Full Text: DOI arXiv
Tsushima, Takahiro On the stable reduction of the Lubin-Tate curve of level two in the equal characteristic case. (English) Zbl 1387.11091 J. Number Theory 147, 184-210 (2015). MSC: 11S37 14G20 11G20 PDF BibTeX XML Cite \textit{T. Tsushima}, J. Number Theory 147, 184--210 (2015; Zbl 1387.11091) Full Text: DOI
Pongsriiam, Prapanpong; Termwuttipong, Imchit Remarks on ultrametrics and metric-preserving functions. (English) Zbl 1440.54010 Abstr. Appl. Anal. 2014, Article ID 163258, 9 p. (2014). MSC: 54C40 PDF BibTeX XML Cite \textit{P. Pongsriiam} and \textit{I. Termwuttipong}, Abstr. Appl. Anal. 2014, Article ID 163258, 9 p. (2014; Zbl 1440.54010) Full Text: DOI arXiv
Hirotsune, Tomoki \(p\)-adic Eisenstein-Kronecker series and non-critical values of \(p\)-adic Hecke \(L\)-function of an imaginary quadratic field when the conductor is divisible by \(p\). (English) Zbl 1385.11045 J. Number Theory 135, 301-333 (2014). MSC: 11G40 11F85 11G15 14G10 11R42 PDF BibTeX XML Cite \textit{T. Hirotsune}, J. Number Theory 135, 301--333 (2014; Zbl 1385.11045) Full Text: DOI