Hai, Phùng Hô; dos Santos, João Pedro; Tâm, Phạm Thanh; Thịnh, Đào Văn Prolongation of regular-singular connections on punctured affine line over a Henselian ring. (English) Zbl 1544.14023 Commun. Algebra 52, No. 8, 3194-3208 (2024). Reviewer: Alexander B. Levin (Washington, D.C.) MSC: 14F10 14L15 32C15 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Porat, Gal Locally analytic vector bundles on the Fargues-Fontaine curve. (English) Zbl 07835951 Algebra Number Theory 18, No. 5, 899-946 (2024). MSC: 11F80 11S25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kedlaya, Kiran S.; Xu, Daxin Drinfeld’s lemma for \(F\)-isocrystals. II: Tannakian approach. (English) Zbl 07782528 Compos. Math. 160, No. 1, 90-119 (2023). MSC: 14F30 14D24 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ye, Shuyang A group-theoretic generalization of the \(p\)-adic local monodromy theorem. (English) Zbl 1523.11212 Can. J. Math. 74, No. 5, 1450-1485 (2022). Reviewer: Pierre Guillot (Strasbourg) MSC: 11S37 20G25 17B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caro, Daniel; Vauclair, David Logarithmic \(p\)-bases and arithmetical differential modules. (\(p\)-bases logarithmiques et modules différentiels arithmétiques.) (English. French summary) Zbl 1508.14018 Ann. Inst. Fourier 72, No. 3, 1011-1096 (2022). MSC: 14F30 14A21 14F10 14B25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kedlaya, Kiran S. Notes on isocrystals. (English) Zbl 1502.14051 J. Number Theory 237, 353-394 (2022). Reviewer: Shishir Agrawal (San Diego) MSC: 14F30 12H25 14F10 14G20 14G22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agrawal, Shishir Deformations of overconvergent isocrystals on the projective line. (English) Zbl 1492.14032 J. Number Theory 237, 167-241 (2022). Reviewer: Dingxin Zhang (Beijing) MSC: 14F30 14F10 12H25 14G20 14G22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Xu, Daxin; Zhu, Xinwen Bessel \(F\)-isocrystals for reductive groups. (English) Zbl 1493.14032 Invent. Math. 227, No. 3, 997-1092 (2022). Reviewer: Rubén Muñoz-Bertrand (Toulouse) MSC: 14F30 14F10 12H25 14G20 11T23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nizioł, Wiesława Hodge theory of \(p\)-adic varieties: a survey. (English) Zbl 1483.11130 Ann. Pol. Math. 127, No. 1-2, 63-86 (2021). MSC: 11G25 14C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Poyeton, Léo Differential \((\varphi,\tau)\)-modules and potentially semi-stable representations. (\((\varphi,\tau)\)-modules différentiels et représentations potentiellement semi-stables.) (French. English summary) Zbl 1479.11204 J. Théor. Nombres Bordx. 33, No. 1, 139-195 (2021). MSC: 11S20 11F80 11F85 13F35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mebkhout, Zoghman On the monodromy theorem for the family of \(p\)-adic differential equations. (Sur le théorème de la monodromie pour une famille d’équations différentielles \(p\)-adiques.) (French. English summary) Zbl 1472.14025 Bull. Soc. Math. Fr. 148, No. 4, 651-708 (2020). Reviewer: Vladimir P. Kostov (Nice) MSC: 14F30 14D05 11S20 11S80 12H25 × Cite Format Result Cite Review PDF Full Text: DOI
Le Stum, Bernard; Quirós, Adolfo Twisted calculus on affinoid algebras. (English) Zbl 1431.12007 Pac. J. Math. 304, No. 2, 523-560 (2020). MSC: 12H10 12H25 14G22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Colmez, Pierre Fontaine’s programm. (Le programme de Fontaine.) (French. English summary) Zbl 1464.11056 Enseign. Math. (2) 65, No. 3-4, 487-531 (2019). MSC: 11F80 01A70 11S20 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Pulita, Andrea Infinitesimal deformation of \(p\)-adic differential equations on Berkovich curves. (English) Zbl 1403.12003 Math. Ann. 368, No. 1-2, 111-164 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12H25 12H20 11S40 58H15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ohkubo, Shun On the rationality and continuity of logarithmic growth filtration of solutions of \(p\)-adic differential equations. (English) Zbl 1414.12017 Adv. Math. 308, 83-120 (2017). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12H25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Caro, Daniel The overcoherence implies the holonomicity. (La surcohérence entraîne l’holonomie.) (French. English summary) Zbl 1375.14075 Bull. Soc. Math. Fr. 144, No. 3, 429-475 (2016). MSC: 14F30 × Cite Format Result Cite Review PDF Full Text: DOI Link
Kedlaya, Kiran S. Convergence polygons for connections on nonarchimedean curves. (English) Zbl 1366.14024 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, 51-97 (2016). MSC: 14G22 14H25 12H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
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 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nakamura, Kentaro Iwasawa theory of de Rham \((\varphi ,\Gamma)\)-modules over the Robba ring. (English) Zbl 1296.11054 J. Inst. Math. Jussieu 13, No. 1, 65-118 (2014). Reviewer: Eugen Hellmann (Bonn) MSC: 11F80 11F85 11S25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Berger, Laurent Book review of: K. S. Kedlaya, \(p\)-adic differential equations. (English) Zbl 1300.00010 Bull. Am. Math. Soc., New Ser. 49, No. 3, 465-468 (2012). MSC: 00A17 12-02 12H25 11S80 12H05 14G20 13A35 × Cite Format Result Cite Review PDF Full Text: DOI
Crew, Richard [Matsuda, Shigeki] Arithmetic \(\mathcal D\)-modules on the unit disk. With an appendix by Shigeki Matsuda. (English) Zbl 1268.14017 Compos. Math. 148, No. 1, 227-268 (2012). Reviewer: Theodore J. Stadnik Jr. (Berkeley) MSC: 14F30 14F10 × Cite Format Result Cite Review PDF Full Text: DOI
Ramero, Lorenzo Hasse-arf filtrations in \(p\)-adic analytic geometry. (English) Zbl 1236.14028 J. Algebr. Geom. 21, No. 1, 97-182 (2012). Reviewer: Jérôme Poineau (Strasbourg) MSC: 14G22 14F05 12J25 14F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kedlaya, Kiran S. Semistable reduction for overconvergent \(F\)-isocrystals. III: Local semistable reduction at monomial valuations. (English) Zbl 1184.14031 Compos. Math. 145, No. 1, 143-172 (2009). Reviewer: Laurent Berger (Lyon) MSC: 14F30 14F40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Noot-Huyghe, Christine; Trihan, Fabien Holonomy of arithmetic \(\mathcal D\)-modules associated with overconvergent \(F\)-isocrystals over smooth curves. (Sur l’holonomie de \(\mathcal D\)-modules arithmétiques associés à des \(F\)-isocristaux surconvergents sur des courbes lisses.) (French. English summary) Zbl 1213.14043 Ann. Fac. Sci. Toulouse, Math. (6) 16, No. 3, 611-634 (2007). MSC: 14F30 14F10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML
Kedlaya, Kiran S. The \(p\)-adic local monodromy theorem for fake annuli. (English) Zbl 1164.14004 Rend. Semin. Mat. Univ. Padova 118, 101-146 (2007). Reviewer: Tan VoVan (Suffolk) MSC: 14F30 12H25 × Cite Format Result Cite Review PDF Full Text: arXiv EuDML
André, Yves Structure of formal meromorphic connections in several variables and semicontinuity of the irregularity. (Structure des connexions méromorphes formelles de plusieurs variables et semi-continuité de l’irrégularité.) (French) Zbl 1149.32017 Invent. Math. 170, No. 1, 147-198 (2007). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 32S40 35A27 32C38 35A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pulita, Andrea Rank one solvable \(p\)-adic differential equations and finite Abelian characters via Lubin-Tate groups. (English) Zbl 1125.12001 Math. Ann. 337, No. 3, 489-555 (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12H25 11S20 12F10 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crew, Richard Arithmetic \(\mathcal D\)-modules on a formal curve. (English) Zbl 1131.14018 Math. Ann. 336, No. 2, 439-448 (2006). Reviewer: Laurent Berger (Bures-sur-Yvette) MSC: 14F10 14F30 × Cite Format Result Cite Review PDF Full Text: DOI
Kedlaya, Kiran S. Finiteness of rigid cohomology with coefficients. (English) Zbl 1133.14019 Duke Math. J. 134, No. 1, 15-97 (2006). Reviewer: Laurent Berger (Lyon) MSC: 14F30 11G25 12H25 14G22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berger, Laurent de Rham representations and universal norms. (Représentations de de Rham et normes universelles.) (French) Zbl 1122.11036 Bull. Soc. Math. Fr. 133, No. 4, 601-618 (2006). Reviewer: Andrzej Dąbrowski (Szczecin) MSC: 11F80 11R23 11S25 12H25 14F30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ramero, Lorenzo Local monodromy in non-Archimedean analytic geometry. (English) Zbl 1111.14012 Publ. Math., Inst. Hautes Étud. Sci. 102, 167-280 (2005). Reviewer: Wilson A. Zuniga-Galindo (Mexico) MSC: 14G22 12J25 14F20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam Numdam EuDML
Lauder, Alan G. B. Rationality and meromorphy of zeta functions. (English) Zbl 1075.11047 Finite Fields Appl. 11, No. 3, 491-510 (2005). Reviewer: Florin Nicolae (Berlin) MSC: 11G25 14G15 11M41 × Cite Format Result Cite Review PDF Full Text: DOI Link
Sauloy, Jacques The canonical filtration by the slopes of a \(q\)-difference module and the associated graded module. (La filtration canonique par les pentes d’un module aux \(q\)-différences et le gradué associé.) (French) Zbl 1061.39013 Ann. Inst. Fourier 54, No. 1, 185-215 (2004). Reviewer: N. C. Apreutesei (Iaşi) MSC: 39A13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Numdam EuDML