Ye, Shuyang A group-theoretic generalization of the \(p\)-adic local monodromy theorem. (English) Zbl 07613390 Can. J. Math. 74, No. 5, 1450-1485 (2022). MSC: 11S37 20G25 17B45 PDF BibTeX XML Cite \textit{S. Ye}, Can. J. Math. 74, No. 5, 1450--1485 (2022; Zbl 07613390) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{D. Caro} and \textit{D. Vauclair}, Ann. Inst. Fourier 72, No. 3, 1011--1096 (2022; Zbl 1508.14018) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, J. Number Theory 237, 353--394 (2022; Zbl 1502.14051) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{S. Agrawal}, J. Number Theory 237, 167--241 (2022; Zbl 1492.14032) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{W. Nizioł}, Ann. Pol. Math. 127, No. 1--2, 63--86 (2021; Zbl 1483.11130) Full Text: DOI arXiv OpenURL
Lazda, Christopher Local acyclicity in \(p\)-adic cohomology. (English) Zbl 1486.14028 Doc. Math. 26, 981-1044 (2021). Reviewer: Shishir Agrawal (Colorado Springs) MSC: 14F30 14G27 14G22 PDF BibTeX XML Cite \textit{C. Lazda}, Doc. Math. 26, 981--1044 (2021; Zbl 1486.14028) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. Poyeton}, J. Théor. Nombres Bordx. 33, No. 1, 139--195 (2021; Zbl 1479.11204) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{Z. Mebkhout}, Bull. Soc. Math. Fr. 148, No. 4, 651--708 (2020; Zbl 1472.14025) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{P. Colmez}, Enseign. Math. (2) 65, No. 3--4, 487--531 (2019; Zbl 1464.11056) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{A. Pulita}, Math. Ann. 368, No. 1--2, 111--164 (2017; Zbl 1403.12003) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Ohkubo}, Adv. Math. 308, 83--120 (2017; Zbl 1414.12017) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{D. Caro}, Bull. Soc. Math. Fr. 144, No. 3, 429--475 (2016; Zbl 1375.14075) Full Text: DOI Link OpenURL
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 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, 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. 51--97 (2016; Zbl 1366.14024) Full Text: DOI arXiv 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
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
Abe, Tomoyuki; Marmora, Adriano Product formula for \(p\)-adic epsilon factors. (English) Zbl 1319.14025 J. Inst. Math. Jussieu 14, No. 2, 275-377 (2015). Reviewer: Xiao Liang (Storrs) MSC: 14F30 12H25 11S40 14F10 PDF BibTeX XML Cite \textit{T. Abe} and \textit{A. Marmora}, J. Inst. Math. Jussieu 14, No. 2, 275--377 (2015; Zbl 1319.14025) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{K. Nakamura}, J. Inst. Math. Jussieu 13, No. 1, 65--118 (2014; Zbl 1296.11054) Full Text: DOI arXiv OpenURL
Di Matteo, Giovanni On admissible tensor products in \(p\)-adic Hodge theory. (English) Zbl 1291.11090 Compos. Math. 149, No. 3, 417-429 (2013). MSC: 11F80 PDF BibTeX XML Cite \textit{G. Di Matteo}, Compos. Math. 149, No. 3, 417--429 (2013; Zbl 1291.11090) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{L. Berger}, Bull. Am. Math. Soc., New Ser. 49, No. 3, 465--468 (2012; Zbl 1300.00010) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{R. Crew}, Compos. Math. 148, No. 1, 227--268 (2012; Zbl 1268.14017) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, Compos. Math. 145, No. 1, 143--172 (2009; Zbl 1184.14031) Full Text: DOI arXiv Link OpenURL
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 PDF BibTeX XML Cite \textit{C. Noot-Huyghe} and \textit{F. Trihan}, Ann. Fac. Sci. Toulouse, Math. (6) 16, No. 3, 611--634 (2007; Zbl 1213.14043) Full Text: DOI arXiv EuDML OpenURL
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 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, Rend. Semin. Mat. Univ. Padova 118, 101--146 (2007; Zbl 1164.14004) Full Text: arXiv EuDML OpenURL
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 PDF BibTeX XML Cite \textit{A. Pulita}, Math. Ann. 337, No. 3, 489--555 (2007; Zbl 1125.12001) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{R. Crew}, Math. Ann. 336, No. 2, 439--448 (2006; Zbl 1131.14018) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, Duke Math. J. 134, No. 1, 15--97 (2006; Zbl 1133.14019) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. G. B. Lauder}, Finite Fields Appl. 11, No. 3, 491--510 (2005; Zbl 1075.11047) Full Text: DOI Link OpenURL
Kedlaya, Kiran S. Local monodromy of \(p\)-adic differential equations: an overview. (English) Zbl 1107.12005 Int. J. Number Theory 1, No. 1, 109-154 (2005). Reviewer: Nikolay Vasilye Grigorenko (Kyïv) MSC: 12H25 14F30 14F40 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, Int. J. Number Theory 1, No. 1, 109--154 (2005; Zbl 1107.12005) Full Text: DOI arXiv OpenURL
Mebkhout, Zoghman Exponents of the \(p\)-adic monodromy and Frobenius structure for differential equations. (Exposants de la monodromie \(p\)-adique et structure de Frobenius pour des équations différentielles.) (French) Zbl 1071.12005 Ann. Inst. Fourier 53, No. 4, 1141-1183 (2003). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12H25 11F80 14F30 PDF BibTeX XML Cite \textit{Z. Mebkhout}, Ann. Inst. Fourier 53, No. 4, 1141--1183 (2003; Zbl 1071.12005) Full Text: DOI Numdam EuDML OpenURL