Azzouz, Tinhinane A. Spectrum of a linear differential equation over a field of formal power series. (English) Zbl 1490.14040 J. Number Theory 231, 139-157 (2022). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 12H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Azzouz, Tinhinane A. Spectrum of a linear differential equation with constant coefficients. (English) Zbl 1472.12006 Math. Z. 296, No. 3-4, 1613-1644 (2020). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12H25 47S10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buzzard, Kevin; Verberkmoes, Alain Stably uniform affinoids are sheafy. (English) Zbl 1430.14055 J. Reine Angew. Math. 740, 25-39 (2018). Reviewer: Christian Kappen (Essen) MSC: 14G22 11G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manon, Christopher Toric geometry of \(SL_2(\mathbb{C})\) free group character varieties from outer space. (English) Zbl 1408.14164 Can. J. Math. 70, No. 2, 354-399 (2018). Reviewer: Dmitri A. Timashev (Moskva) MSC: 14M25 14T05 53D20 57M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Araujo, Jesús Nonmaximal ideals and the Berkovich space of the algebra of bounded analytic functions. (English) Zbl 1377.46054 J. Math. Anal. Appl. 455, No. 1, 221-245 (2017). Reviewer: Stefan Cobzaş (Cluj-Napoca) MSC: 46S10 12J25 30G06 32P05 46J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hrushovski, Ehud; Loeser, François; Poonen, Bjorn Berkovich spaces embed in Euclidean spaces. (English) Zbl 1325.14040 Enseign. Math. (2) 60, No. 3-4, 273-292 (2014). Reviewer: Jérôme Poineau (Caen) MSC: 14G22 54F50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mihara, Tomoki Characterisation of the Berkovich spectrum of the Banach algebra of bounded continuous functions. (English) Zbl 1302.11095 Doc. Math. 19, 769-799 (2014). Reviewer: Cristina Pérez-García (Santander) MSC: 11S80 18B30 46S10 × Cite Format Result Cite Review PDF Full Text: arXiv EMIS
Werner, Annette Non-Archimedean analytic spaces. (English) Zbl 1279.14028 Jahresber. Dtsch. Math.-Ver. 115, No. 1, 3-20 (2013). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14G22 11G25 20E42 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Yifeng A non-archimedean analogue of the Calabi-Yau theorem for totally degenerate abelian varieties. (English) Zbl 1254.14026 J. Differ. Geom. 89, No. 1, 87-110 (2011). Reviewer: Anna Fino (Torino) MSC: 14G22 14K15 32Q25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Stewart, Allen J.; Vologodsky, Vadim Motivic integral of \(K3\) surfaces over a non-Archimedean field. (English) Zbl 1297.14025 Adv. Math. 228, No. 5, 2688-2730 (2011). Reviewer: Nikolaj M. Glazunov (Kyïv) MSC: 14Gxx 14F20 14C25 14C22 14F05 14E18 14J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lepage, Emmanuel Tempered fundamental group and metric graph of a Mumford curve. (English) Zbl 1213.14047 Publ. Res. Inst. Math. Sci. 46, No. 4, 849-897 (2010). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14G22 14F35 14H30 14G20 × Cite Format Result Cite Review PDF Full Text: arXiv
Poineau, Jérôme The Berkovich line over \(\mathbf Z\). (La droite de Berkovich sur \(\mathbf Z\).) (French) Zbl 1220.14001 Astérisque 334. Paris: Société Mathématique de France (SMF) (ISBN 978-2-85629-294-5/pbk). xii, 284 p. (2010). Reviewer: Christian Kappen (Essen) MSC: 14-02 14G22 14G25 30B10 13E05 12F15 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Rémy, Bertrand; Thuillier, Amaury; Werner, Annette Bruhat-Tits theory from Berkovich’s point of view. I: Realizations and compactifications of buildings. (English) Zbl 1198.51006 Ann. Sci. Éc. Norm. Supér. (4) 43, No. 3, 461-554 (2010). Reviewer: Ralf Gramlich (Darmstadt) MSC: 51E24 20E42 14L15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam Link
Ducros, Antoine Berkovich spaces are excellent. (Les espaces de berkovich sont excellents.) (French) Zbl 1177.14049 Ann. Inst. Fourier 59, No. 4, 1443-1552 (2009). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14G22 14A99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Conrad, Brian; Temkin, Michael Non-archimedean analytification of algebraic spaces. (English) Zbl 1177.14048 J. Algebr. Geom. 18, No. 4, 731-788 (2009). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14G22 14A20 14L30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Payne, Sam Analytification is the limit of all tropicalizations. (English) Zbl 1193.14077 Math. Res. Lett. 16, No. 2-3, 543-556 (2009). Reviewer: Alexander Esterov (Madrid) MSC: 14T05 14M25 32P05 32C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Paugam, Frédéric Global analytic geometry. (English) Zbl 1259.13002 J. Number Theory 129, No. 10, 2295-2327 (2009). MSC: 13A18 11U09 14G22 14A99 × Cite Format Result Cite Review PDF Full Text: DOI
Ta Thi Hoai An; Wang, Julie Tzu-Yueh; Wong, Pit-Mann Non-archimedean analytic curves in the complements of hypersurface divisors. (English) Zbl 1169.14018 J. Number Theory 128, No. 8, 2275-2281 (2008). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14G22 11J97 30D35 32P05 32H02 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Soibelman, Yan Quantum \(p\)-adic spaces and quantum \(p\)-adic groups. (English) Zbl 1139.12008 Kapranov, Mikhail (ed.) et al., Geometry and dynamics of groups and spaces. In memory of Alexander Reznikov. Partly based on the international conference on geometry and dynamics of groups and spaces in memory of Alexander Reznikov, Bonn, Germany, September 22–29, 2006. Basel: Birkhäuser (ISBN 978-3-7643-8607-8/hbk). Progress in Mathematics 265, 697-719 (2008). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12J25 14J32 17B37 81R50 32Q25 × Cite Format Result Cite Review PDF Full Text: arXiv
Poineau, Jérôme Global analytic geometry. (English) Zbl 1221.14029 Eur. Math. Soc. Newsl. 65, 20-22 (2007). MSC: 14G22 14G25 30B10 × Cite Format Result Cite Review PDF
Thuillier, Amaury Toroidal geometry and non-archimedean analytic geometry. Application to the homotopy type of certain formal schemes. (Géométrie toroïdale et géométrie analytique non archimédienne. Application au type d’homotopie de certains schémas formels.) (French) Zbl 1134.14018 Manuscr. Math. 123, No. 4, 381-451 (2007). Reviewer: Johannes Nicaise (Villeneuve d’Ascq) MSC: 14G22 14E15 14M25 × Cite Format Result Cite Review PDF Full Text: DOI
Berkovich, Vladimir G. Integration of one-forms on \(p\)-adic analytic spaces. (English) Zbl 1161.14001 Annals of Mathematics Studies 162. Princeton, NJ: Princeton University Press (ISBN 0-691-12862-6/pbk; 0-691-12741-7/hbk). vi, 156 p. (2007). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14-02 32-02 14G22 × Cite Format Result Cite Review PDF Full Text: DOI
Favre, Charles; Jonsson, Mattias The valuative tree. (English) Zbl 1064.14024 Lecture Notes in Mathematics 1853. Berlin: Springer (ISBN 3-540-22984-1/pbk). xv, 234 p. (2004). Reviewer: Karl-Heinz Kiyek (Paderborn) MSC: 14H20 05C05 13A18 13B22 13F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maïnetti, Nicolas Gelfand transform and spectral radius formulae for ultrametric Banach algebras. (English) Zbl 1053.46056 Schikhof, W. H. (ed.) et al., Ultrametric functional analysis. Proceedings of the seventh international conference on \(p\)-adic functional analysis, Nijmegen, The Netherlands, June 17–21, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-2889-4/pbk). Contemp. Math. 319, 207-221 (2003). Reviewer: Cristina Perez-Garcia (Santander) MSC: 46S10 12J25 12J27 × Cite Format Result Cite Review PDF
Göttker-Schnetmann, Jost Equivariant derived categories of rigid spaces. (Äquivariante derivierte Kategorien rigider Räume.) (German) Zbl 1030.18007 Münster: Univ. Münster, Mathematisch-Naturwissenschaftliche Fakultät, 79 S. (2003). Reviewer: Alexander Zimmermann (Amiens) MSC: 18E30 14G22 × Cite Format Result Cite Review PDF
Berkovich, Vladimir G. Smooth \(p\)-adic analytic spaces are locally contractible. (English) Zbl 0930.32016 Invent. Math. 137, No. 1, 1-84 (1999). Reviewer: Vladimir G.Berkovich (Rehovut, Israel) MSC: 32P05 32C35 × Cite Format Result Cite Review PDF Full Text: DOI
Matsuda, Shigeki An introduction to Berkovich spaces. (Japanese) Zbl 0945.14015 RIMS Kokyuroku 1073, 49-66 (1998). Reviewer: Nobuo Tsuzuki (MR 2000k:14020) MSC: 14G22 32P05 × Cite Format Result Cite Review PDF
Cherry, William A non-Archimedean analogue of the Kobayashi semi-distance and its non-degeneracy on Abelian varieties. (English) Zbl 0853.32038 Ill. J. Math. 40, No. 1, 123-140 (1996). Reviewer: M.Reversat (Toulouse) MSC: 32P05 32F45 14G20 32Q45 × Cite Format Result Cite Review PDF
Berkovich, Vladimir G. The automorphism group of the Drinfeld half-plane. (English. Abridged French version) Zbl 0856.14007 C. R. Acad. Sci., Paris, Sér. I 321, No. 9, 1127-1132 (1995). Reviewer: V.G.Berkovich (Rehovot) MSC: 14G20 14E07 14H37 × Cite Format Result Cite Review PDF
van der Put, Marius; Schneider, P. Points and topologies in rigid geometry. (English) Zbl 0867.11049 Math. Ann. 302, No. 1, 81-103 (1995). Reviewer: M.Reversat (Toulouse) MSC: 11G99 14G20 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Berkovich, Vladimir G. Vanishing cycles for formal schemes. (English) Zbl 0791.14008 Invent. Math. 115, No. 3, 539-571 (1994). Reviewer: V.G.Berkovich (Rehovot) MSC: 14F20 14F99 18F20 14G20 14C25 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Bruhat, François; Tits, Jacques Reductive groups over a local field. (Groupes réductifs sur un corps local.) (French) Zbl 0254.14017 Publ. Math., Inst. Hautes Étud. Sci. 41, 5-251 (1972). Reviewer: Annette Werner (Frankfurt) (2011) MSC: 14L99 20G25 22E99 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML Backlinks: MO