Lai, King Fai Differential equations and Lie group representations. (Chinese. English summary) Zbl 1438.11140 Adv. Math., Beijing 48, No. 3, 257-301 (2019). MSC: 11S80 14M15 16S32 20G05 22E45 22E50 35A30 PDF BibTeX XML Cite \textit{K. F. Lai}, Adv. Math., Beijing 48, No. 3, 257--301 (2019; Zbl 1438.11140) OpenURL
Caro, Daniel Betti number estimates in \(p\)-adic cohomology. (English) Zbl 1440.14109 J. Inst. Math. Jussieu 18, No. 5, 957-991 (2019). MSC: 14F30 14F10 PDF BibTeX XML Cite \textit{D. Caro}, J. Inst. Math. Jussieu 18, No. 5, 957--991 (2019; Zbl 1440.14109) Full Text: DOI arXiv OpenURL
Papikian, Mihran Drinfeld-Stuhler modules. (English) Zbl 1475.11118 Res. Math. Sci. 5, No. 4, Paper No. 40, 33 p. (2018). Reviewer: Damián Gvirtz (London) MSC: 11G09 11R52 PDF BibTeX XML Cite \textit{M. Papikian}, Res. Math. Sci. 5, No. 4, Paper No. 40, 33 p. (2018; Zbl 1475.11118) Full Text: DOI arXiv OpenURL
Huyghe, Christine; Schmidt, Tobias Distribution algebras and arithmetic \(\mathcal{D}\)-modules. (Algèbres de distributions et \(\mathcal{D}\)-modules arithmétiques.) (French. English summary) Zbl 1485.14034 Rend. Semin. Mat. Univ. Padova 139, 1-76 (2018). MSC: 14F10 14L15 16S32 20G05 20G25 PDF BibTeX XML Cite \textit{C. Huyghe} and \textit{T. Schmidt}, Rend. Semin. Mat. Univ. Padova 139, 1--76 (2018; Zbl 1485.14034) Full Text: DOI OpenURL
Caro, Daniel Inductive system coherence for logarithmic arithmetic \({\mathcal D}\)-modules, stability for cohomology operations. (Systèmes inductifs cohérents de \({\mathcal D}\)-modules arithmétiques logarithmiques, stabilité par opérations cohomologiques.) (French. English summary) Zbl 1378.14018 Doc. Math. 21, 1515-1606 (2016). MSC: 14F30 14F10 PDF BibTeX XML Cite \textit{D. Caro}, Doc. Math. 21, 1515--1606 (2016; Zbl 1378.14018) Full Text: EMIS 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
Lazda, Christopher Incarnations of Berthelot’s conjecture. (English) Zbl 1375.14078 J. Number Theory 166, 137-157 (2016). MSC: 14F30 14F10 PDF BibTeX XML Cite \textit{C. Lazda}, J. Number Theory 166, 137--157 (2016; Zbl 1375.14078) Full Text: DOI arXiv OpenURL
Caro, Daniel On the preservation of the overconvergence for the direct image of a proper and flat morphism. (Sur la préservation de la surconvergence par l’image directe d’un morphisme propre et lisse.) (French. English summary) Zbl 1375.14067 Ann. Sci. Éc. Norm. Supér. (4) 48, No. 1, 131-169 (2015). MSC: 14F10 14F30 13D09 PDF BibTeX XML Cite \textit{D. Caro}, Ann. Sci. Éc. Norm. Supér. (4) 48, No. 1, 131--169 (2015; Zbl 1375.14067) Full Text: arXiv Link OpenURL
Abe, Tomoyuki Rings of microdifferential operators for arithmetic \(\mathscr{D}\)-modules-construction and an application to the characteristic varieties for curves. (Anneaux d’opérateurs microdifférentiels pour les (\mathscr{D}\)-modules arithmétiques. Construction et application aux variétés caractéristiques de courbes.) (English) Zbl 1311.32003 Bull. Soc. Math. Fr. 143, No. 1, 35-107 (2015). MSC: 32C38 PDF BibTeX XML Cite \textit{T. Abe}, Bull. Soc. Math. Fr. 143, No. 1, 35--107 (2015; Zbl 1311.32003) Full Text: arXiv Link OpenURL
Abe, Tomoyuki Explicit calculation of Frobenius isomorphisms and Poincaré duality in the theory of arithmetic \(\mathcal D\)-modules. (English) Zbl 1327.14101 Rend. Semin. Mat. Univ. Padova 131, 89-149 (2014). MSC: 14F30 14F10 12H25 PDF BibTeX XML Cite \textit{T. Abe}, Rend. Semin. Mat. Univ. Padova 131, 89--149 (2014; Zbl 1327.14101) Full Text: DOI arXiv OpenURL
Le Stum, Bernard Constructible \(\nabla \)-modules on curves. (English) Zbl 1320.14035 Sel. Math., New Ser. 20, No. 2, 627-674 (2014). Reviewer: Xiao Liang (Storrs) MSC: 14F10 14F30 PDF BibTeX XML Cite \textit{B. Le Stum}, Sel. Math., New Ser. 20, No. 2, 627--674 (2014; Zbl 1320.14035) Full Text: DOI arXiv OpenURL
Papikian, Mihran \(\mathcal D\)-elliptic sheaves and odd Jacobians. (English) Zbl 1294.11094 J. Number Theory 133, No. 3, 1012-1026 (2013). Reviewer: Gabriel D. Villa-Salvador (México D. F.) MSC: 11G09 11G18 11G20 PDF BibTeX XML Cite \textit{M. Papikian}, J. Number Theory 133, No. 3, 1012--1026 (2013; Zbl 1294.11094) Full Text: DOI arXiv OpenURL
Schnell, Christian Residues and filtered \(D\)-modules. (English) Zbl 1251.14006 Math. Ann. 354, No. 2, 727-763 (2012). Reviewer: Ana Rita Martins (Lisbon) MSC: 14D07 32C38 14D10 PDF BibTeX XML Cite \textit{C. Schnell}, Math. Ann. 354, No. 2, 727--763 (2012; Zbl 1251.14006) Full Text: DOI arXiv 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
Caro, Daniel Holonomicity without Frobenius structure. (Holonomie sans structure de Frobenius et critères d’holonomie.) (French. English summary) Zbl 1300.14022 Ann. Inst. Fourier 61, No. 4, 1437-1454 (2011). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 14F30 PDF BibTeX XML Cite \textit{D. Caro}, Ann. Inst. Fourier 61, No. 4, 1437--1454 (2011; Zbl 1300.14022) Full Text: DOI EuDML OpenURL
Caro, Daniel Stability of the holonomy on quasi-projective varieties. (Stabilité de l’holonomie sur les variétés quasi-projectives.) (French. English summary) Zbl 1263.14024 Compos. Math. 147, No. 6, 1772-1792 (2011). Reviewer: Christine Noot-Huyghe (Strasbourg) MSC: 14F30 14F10 PDF BibTeX XML Cite \textit{D. Caro}, Compos. Math. 147, No. 6, 1772--1792 (2011; Zbl 1263.14024) Full Text: DOI arXiv OpenURL
Papikian, Mihran On Jacquet-Langlands isogeny over function fields. (English) Zbl 1245.11074 J. Number Theory 131, No. 7, 1149-1175 (2011). Reviewer: Ernst-Ulrich Gekeler (Saarbrücken) (MR 2782835) MSC: 11G18 11G09 PDF BibTeX XML Cite \textit{M. Papikian}, J. Number Theory 131, No. 7, 1149--1175 (2011; Zbl 1245.11074) Full Text: DOI arXiv OpenURL
Li, Bin The Euler characteristic of arithmetic \(\mathcal D\)-modules on curves. (English) Zbl 1228.14017 Int. Math. Res. Not. 2010, No. 15, 2867-2888 (2010). Reviewer: Christine Noot-Huyghe (Strasbourg) MSC: 14F30 PDF BibTeX XML Cite \textit{B. Li}, Int. Math. Res. Not. 2010, No. 15, 2867--2888 (2010; Zbl 1228.14017) Full Text: DOI OpenURL
Abe, Tomoyuki Comparison between Swan conductors and characteristic cycles. (English) Zbl 1207.14027 Compos. Math. 146, No. 3, 638-682 (2010). Reviewer: Laurent Berger (Lyon) MSC: 14F10 14F20 PDF BibTeX XML Cite \textit{T. Abe}, Compos. Math. 146, No. 3, 638--682 (2010; Zbl 1207.14027) Full Text: DOI OpenURL
Papikian, Mihran On hyperelliptic modular curves over function fields. (English) Zbl 1195.11080 Arch. Math. 92, No. 4, 291-302 (2009). Reviewer: Andreas Schweizer (Taipei) MSC: 11G09 11G18 PDF BibTeX XML Cite \textit{M. Papikian}, Arch. Math. 92, No. 4, 291--302 (2009; Zbl 1195.11080) Full Text: DOI arXiv OpenURL
Caro, Daniel Overholonomic arithmetic \(\mathcal D\)-modules. (\(\mathcal D \)-modules arithmétiques surholonomes.) (French) Zbl 1168.14013 Ann. Sci. Éc. Norm. Supér. (4) 42, No. 1, 141-192 (2009). Reviewer: Elmar Große-Klönne (Berlin) MSC: 14F30 PDF BibTeX XML Cite \textit{D. Caro}, Ann. Sci. Éc. Norm. Supér. (4) 42, No. 1, 141--192 (2009; Zbl 1168.14013) Full Text: DOI arXiv Link OpenURL
Kedlaya, Kiran S. \(p\)-adic cohomology. (English) Zbl 1217.14016 Abramovich, D. (ed.) et al., Algebraic geometry, Seattle 2005. Proceedings of the 2005 Summer Research Institute, Seattle, WA, USA, July 25–August 12, 2005. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4703-9/hbk; 978-0-8218-4057-3/set). Proceedings of Symposia in Pure Mathematics. 80, Pt. 2, 667-684 (2009). Reviewer: Laurent Berger (Lyon) MSC: 14F30 14F40 14G10 14G20 14F10 13N10 14G22 16S32 32C38 PDF BibTeX XML Cite \textit{K. S. Kedlaya}, in: Algebraic geometry, Seattle 2005. Proceedings of the 2005 Summer Research Institute, Seattle, WA, USA, July 25--August 12, 2005. Providence, RI: American Mathematical Society (AMS). 667--684 (2009; Zbl 1217.14016) Full Text: arXiv OpenURL
Caro, D. Devissage of the \(F\)-complexes of arithmetic \(\mathcal D\)-modules in overconvergent \(F\)-isocrystals. (Dévissages des \(F\)-complexes de \(\mathcal D\)-modules arithmétiques en \(F\)-isocristaux surconvergents.) (French) Zbl 1114.14011 Invent. Math. 166, No. 2, 397-456 (2006). Reviewer: Christine Noot-Huyghe (Strasbourg) MSC: 14F30 14F10 14F40 PDF BibTeX XML Cite \textit{D. Caro}, Invent. Math. 166, No. 2, 397--456 (2006; Zbl 1114.14011) Full Text: DOI arXiv OpenURL
Caro, Daniel Overcoherent arithmetic \(\mathcal D\)-modules. Application to \(L\)-functions. (\(\mathcal D \)-modules arithmétiques surcohérents. Application aux fonctions \(L\).) (French) Zbl 1129.14030 Ann. Inst. Fourier 54, No. 6, 1943-1996 (2004). Reviewer: Christine Noot-Huyghe (Strasbourg) MSC: 14F30 14F10 14G10 PDF BibTeX XML Cite \textit{D. Caro}, Ann. Inst. Fourier 54, No. 6, 1943--1996 (2004; Zbl 1129.14030) Full Text: DOI Numdam EuDML OpenURL
Laumon, G. Drinfeld shtukas. (English) Zbl 0958.11046 Narasimhan, M. S. (ed.), Vector bundles on curves - new directions. Lectures given at the 3rd session of the Centro Internazionale Matematico Estivo (CIME) held in Cetraro (Cosenza), Italy, June 19-27, 1995. Berlin: Springer. Lect. Notes Math. 1649, 50-109 (1997). MSC: 11G09 14F05 11R39 14D20 11R58 PDF BibTeX XML Cite \textit{G. Laumon}, Lect. Notes Math. 1649, 50--109 (1997; Zbl 0958.11046) OpenURL
Lafforgue, Laurent Drinfeld’s ‘shtukas’ and the Ramanujan-Petersson conjecture. (Chtoucas de Drinfeld et conjecture de Ramanujan-Petersson.) (French) Zbl 0899.11026 Astérisque. 243. Paris: Société Mathématique de France, 329 p. (1997). Reviewer: U.Stuhler (Göttingen) MSC: 11G09 11F70 14G25 14L05 11S37 11F72 11R58 14F05 PDF BibTeX XML Cite \textit{L. Lafforgue}, Chtoucas de Drinfeld et conjecture de Ramanujan-Petersson. Paris: Société Mathématique de France (1997; Zbl 0899.11026) OpenURL
Katz, Nicholas M. Exponential sums and differential equations. (English) Zbl 0731.14008 Annals of Mathematics Studies, 124. Princeton, NJ: Princeton University Press. ix, 430 p. $ 22.50/pbk; $ 65.00/hbk (1990). Reviewer: Francesco Baldassarri (Padova) MSC: 14F10 14-02 12-02 11-02 11T23 12H25 14G15 12H20 PDF BibTeX XML Cite \textit{N. M. Katz}, Exponential sums and differential equations. Princeton, NJ: Princeton University Press (1990; Zbl 0731.14008) Full Text: DOI OpenURL