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Found 250 Documents (Results 1–100)

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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
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\textit{M. Jonsson} and \textit{J. Nicaise}, J. Éc. Polytech., Math. 7, 287--336 (2020; Zbl 1430.14056)
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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
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\textit{O. Brinon} et al., Panor. Synth. 54, 207--265 (2019; Zbl 1443.14022)
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
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\textit{B. Bhatt}, Math. Surv. Monogr. 242, 193--244 (2019; Zbl 1453.14080)
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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
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\textit{J. Weinstein}, Math. Surv. Monogr. 242, 1--43 (2019; Zbl 1451.14083)
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
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\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)
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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
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\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)
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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
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\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
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
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\textit{W. Gubler} and \textit{J. Hertel}, Publ. Math. Besançon, Algèbre Théor. Nombres 2017, 5--77 (2017; Zbl 1434.11124)
Full Text: arXiv
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
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\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
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
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\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
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
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\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
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
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\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
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
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\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
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
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\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
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
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\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)
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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
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\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
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
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\textit{M. Jonsson}, Lect. Notes Math. 2119, 205--366 (2015; Zbl 1401.37103)
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Ducros, Antoine (ed.); Favre, Charles (ed.); Nicaise, Johannes (ed.)
Berkovich spaces and applications. Based on a workshop, Santiago de Chile, Chile, January 2008 and a summer school, Paris, France, June 2010. (English) Zbl 1304.14004
Lecture Notes in Mathematics 2119. Cham: Springer (ISBN 978-3-319-11028-8/pbk; 978-3-319-11029-5/ebook). xix, 413 p. (2015).
MSC:  14-06 14F20 14A20 14G22 12J25 14L15 20E42 00B25
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\textit{A. Ducros} (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 (2015; Zbl 1304.14004)
Full Text: DOI
Scholze, Peter
Perfectoid spaces and their applications. (English) Zbl 1373.14025
Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 461-486 (2014).
MSC:  14G22 11F80 14G20 14C30 14L05 14G35 11F03
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\textit{P. Scholze}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa. 461--486 (2014; Zbl 1373.14025)
Loeser, François
Definability in non-Archimedean geometry. (English) Zbl 1373.03053
Jang, Sun Young (ed.) et al., Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13–21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa (ISBN 978-89-6105-805-6/hbk; 978-89-6105-803-2/set). 59-77 (2014).
MSC:  03C40 03C65 03C98 12J10 14G22 22E35 03C64 03C68 11S80 11F85 14G20 14T05 20G25 22E50
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\textit{F. Loeser}, in: Proceedings of the International Congress of Mathematicians (ICM 2014), Seoul, Korea, August 13--21, 2014. Vol. II: Invited lectures. Seoul: KM Kyung Moon Sa. 59--77 (2014; Zbl 1373.03053)
Chenevier, Gaëtan
The \(p\)-adic analytic space of pseudocharacters of a profinite group and pseudorepresentations over arbitrary rings. (English) Zbl 1350.11063
Diamond, Fred (ed.) et al., Automorphic forms and Galois representations. Proceedings of the 94th London Mathematical Society (LMS) – EPSRC Durham symposium, Durham, UK, July 18–28, 2011. Volume 1. Cambridge: Cambridge University Press (ISBN 978-1-107-69192-6/pbk; 978-1-107-44633-5/ebook). London Mathematical Society Lecture Note Series 414, 221-285 (2014).
Reviewer: Andrzej Dąbrowski (Szczecin)
MSC:  11F80 22E50 14G22 13A99 11F85
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\textit{G. Chenevier}, Lond. Math. Soc. Lect. Note Ser. 414, 221--285 (2014; Zbl 1350.11063)
Chambert-Loir, Antoine
Diophantine geometry and analytic spaces. (English) Zbl 1320.14039
Amini, Omid (ed.) et al., Tropical and non-Archimedean geometry. Bellairs workshop in number theory, tropical and non-Archimedean geometry, Bellairs Research Institute, Holetown, Barbados, USA, May 6–13, 2011. Providence, RI: American Mathematical Society (AMS); Montreal: Centre de Recherches Mathématiques (ISBN 978-1-4704-1021-6/pbk). Contemporary Mathematics 605. Centre de Recherches Mathématiques Proceedings, 161-179 (2013).
MSC:  14G20 14G22 11G20 14K99 32C99 32P05
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\textit{A. Chambert-Loir}, Contemp. Math. 605, 161--179 (2013; Zbl 1320.14039)
Full Text: DOI arXiv
Lepage, Emmanuel
Covers in \(p\)-adic analytic geometry and log covers. I: cospecialization of the \((p^\prime)\)-tempered fundamental group for a family of curves. (Revêtements en géométrie analytique \(p\)-adique et revêtements logarithmiques: cospécialisation du groupe fondamental \((p^\prime)\)-tempéré pour une famille de courbes.) (English. French summary) Zbl 1345.11043
Ann. Inst. Fourier 63, No. 4, 1427-1467 (2013).
Reviewer: Christophe Ritzenthaler (Marseille)
MSC:  11G20 14H30 14G22
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\textit{E. Lepage}, Ann. Inst. Fourier 63, No. 4, 1427--1467 (2013; Zbl 1345.11043)
Full Text: DOI
Ducros, Antoine
Berkovich spaces are tame (after Ehud Hrushovski and François Loeser. (Les espaces de Berkovich sont modérés (d’après Ehud Hrushovski et François Loeser).) (French) Zbl 1301.14010
Séminaire Bourbaki. Volume 2011/2012. Exposés 1043–1058. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-371-3/pbk). Astérisque 352, 459-507, Exp. No. 1056 (2013).
Reviewer: Jérôme Poineau (Caen)
MSC:  14G22 03C98 12J25
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\textit{A. Ducros}, Astérisque 352, 459--507, Exp. No. 1056 (2013; Zbl 1301.14010)

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