Edit Profile (opens in new tab) Caro, Daniel Compute Distance To: Compute Author ID: caro.daniel Published as: Caro, Daniel; Caro, D. Documents Indexed: 29 Publications since 2004 Reviewing Activity: 1 Review Co-Authors: 3 Co-Authors with 4 Joint Publications 9 Co-Co-Authors Co-Authors 25 single-authored 2 Abe, Tomoyuki 1 Tsuzuki, Nobuo 1 Vauclair, David all top 5 Serials 4 Rendiconti del Seminario Matematico della Università di Padova 3 Annales de l’Institut Fourier 3 Compositio Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Bulletin de la Société Mathématique de France 2 Inventiones Mathematicae 2 Manuscripta Mathematica 1 American Journal of Mathematics 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Journal of Mathematical Sciences. University of Tokyo 1 Selecta Mathematica. New Series 1 Documenta Mathematica 1 Annals of Mathematics. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of the Institute of Mathematics of Jussieu Fields 29 Algebraic geometry (14-XX) 3 Commutative algebra (13-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 25 Publications have been cited 225 times in 53 Documents Cited by ▼ Year ▼ \(L\)-functions associated with arithmetical \({\mathcal D}\)-modules. The case of curves. (Fonctions \(L\) associées aux \({\mathcal D}\)-modules arithmétiques. Cas des courbes.) Zbl 1167.14012Caro, Daniel 29 2006 Overcoherent arithmetic \(\mathcal D\)-modules. Application to \(L\)-functions. (\(\mathcal D \)-modules arithmétiques surcohérents. Application aux fonctions \(L\).) Zbl 1129.14030Caro, Daniel 21 2004 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.) Zbl 1114.14011Caro, D. 18 2006 Overholonomic arithmetic \(\mathcal D\)-modules. (\(\mathcal D \)-modules arithmétiques surholonomes.) Zbl 1168.14013Caro, Daniel 18 2009 Overholonomicity of overconvergent \(F\)-isocrystals over smooth varieties. Zbl 1276.14031Caro, Daniel; Tsuzuki, Nobuo 15 2012 Full faithfulness without Frobenius structure and partially overconvergent isocrystals. (Pleine fidélité sans structure de Frobenius et isocristaux partiellement surconvergents.) Zbl 1307.14025Caro, Daniel 15 2011 Theory of weights in \(p\)-adic cohomology. Zbl 1487.14047Abe, Tomoyuki; Caro, Daniel 15 2018 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.) Zbl 1375.14067Caro, Daniel 11 2015 Over convergent \(F\)-isocrystals and differential overcoherence. (\(F\)-isocristaux surconvergents et surcohérence différentielle.) Zbl 1203.14025Caro, D. 11 2007 Arithmetic \(\mathcal D\)-modules associated with overconvergent isocrystals. Smooth case. (\(\mathcal D\)-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse.) Zbl 1300.14021Caro, Daniel 9 2009 Holonomicity without Frobenius structure. (Holonomie sans structure de Frobenius et critères d’holonomie.) Zbl 1300.14022Caro, Daniel 8 2011 Comparing the sheaves of overconvergent isocrystals. (Comparaison des facteurs duaux des isocristaux surconvergents.) Zbl 1165.14305Caro, Daniel 8 2005 On Beilinson’s equivalence for \(p\)-adic cohomology. Zbl 1427.14043Abe, Tomoyuki; Caro, Daniel 7 2018 Stability of the holonomy on quasi-projective varieties. (Stabilité de l’holonomie sur les variétés quasi-projectives.) Zbl 1263.14024Caro, Daniel 6 2011 On stability of \(\mathcal{D}\)-modules under tensor product of complex. (Sur la stabilité par produit tensoriel de complexes de \(\mathcal{D}\)-modules arithmétiques.) Zbl 1349.14064Caro, Daniel 6 2015 Overconvergent log-isocrystals and holonomy. (Log-isocristaux surconvergents et holonomie.) Zbl 1308.14018Caro, Daniel 5 2009 The overcoherence implies the holonomicity. (La surcohérence entraîne l’holonomie.) Zbl 1375.14075Caro, Daniel 5 2016 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.) Zbl 1378.14018Caro, Daniel 4 2016 Differential coherence of unit-root \(F\)-isocrystals. (Cohérence différentielle des \(F\)-isocristaux unités.) Zbl 1047.14009Caro, Daniel 4 2004 A characterization of overcoherence. (Une caractérisation de la surcohérence.) Zbl 1213.14041Caro, Daniel 3 2009 On the compability of the Frobenius isomorphism with relative duality. (Sur la compatibilité à Frobenius de l’isomorphisme de dualité relative.) Zbl 1310.13009Caro, Daniel 2 2009 Hard Lefschetz theorem in \(p\)-adic cohomology. Zbl 1375.14076Caro, Daniel 2 2016 Stability of holonomicity without Frobenius structure: the case of curves. (Stabilité de l’holonomie sans structure de Frobenius: cas des courbes.) Zbl 1291.14035Caro, Daniel 1 2011 Lagrangianity for log extendable overconvergent \(F\)-isocrystals. Zbl 1453.14062Caro, Daniel 1 2017 Unipotent monodromy and arithmetic \({\mathcal {D}}\)-modules. Zbl 1452.14015Caro, Daniel 1 2018 Theory of weights in \(p\)-adic cohomology. Zbl 1487.14047Abe, Tomoyuki; Caro, Daniel 15 2018 On Beilinson’s equivalence for \(p\)-adic cohomology. Zbl 1427.14043Abe, Tomoyuki; Caro, Daniel 7 2018 Unipotent monodromy and arithmetic \({\mathcal {D}}\)-modules. Zbl 1452.14015Caro, Daniel 1 2018 Lagrangianity for log extendable overconvergent \(F\)-isocrystals. Zbl 1453.14062Caro, Daniel 1 2017 The overcoherence implies the holonomicity. (La surcohérence entraîne l’holonomie.) Zbl 1375.14075Caro, Daniel 5 2016 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.) Zbl 1378.14018Caro, Daniel 4 2016 Hard Lefschetz theorem in \(p\)-adic cohomology. Zbl 1375.14076Caro, Daniel 2 2016 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.) Zbl 1375.14067Caro, Daniel 11 2015 On stability of \(\mathcal{D}\)-modules under tensor product of complex. (Sur la stabilité par produit tensoriel de complexes de \(\mathcal{D}\)-modules arithmétiques.) Zbl 1349.14064Caro, Daniel 6 2015 Overholonomicity of overconvergent \(F\)-isocrystals over smooth varieties. Zbl 1276.14031Caro, Daniel; Tsuzuki, Nobuo 15 2012 Full faithfulness without Frobenius structure and partially overconvergent isocrystals. (Pleine fidélité sans structure de Frobenius et isocristaux partiellement surconvergents.) Zbl 1307.14025Caro, Daniel 15 2011 Holonomicity without Frobenius structure. (Holonomie sans structure de Frobenius et critères d’holonomie.) Zbl 1300.14022Caro, Daniel 8 2011 Stability of the holonomy on quasi-projective varieties. (Stabilité de l’holonomie sur les variétés quasi-projectives.) Zbl 1263.14024Caro, Daniel 6 2011 Stability of holonomicity without Frobenius structure: the case of curves. (Stabilité de l’holonomie sans structure de Frobenius: cas des courbes.) Zbl 1291.14035Caro, Daniel 1 2011 Overholonomic arithmetic \(\mathcal D\)-modules. (\(\mathcal D \)-modules arithmétiques surholonomes.) Zbl 1168.14013Caro, Daniel 18 2009 Arithmetic \(\mathcal D\)-modules associated with overconvergent isocrystals. Smooth case. (\(\mathcal D\)-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse.) Zbl 1300.14021Caro, Daniel 9 2009 Overconvergent log-isocrystals and holonomy. (Log-isocristaux surconvergents et holonomie.) Zbl 1308.14018Caro, Daniel 5 2009 A characterization of overcoherence. (Une caractérisation de la surcohérence.) Zbl 1213.14041Caro, Daniel 3 2009 On the compability of the Frobenius isomorphism with relative duality. (Sur la compatibilité à Frobenius de l’isomorphisme de dualité relative.) Zbl 1310.13009Caro, Daniel 2 2009 Over convergent \(F\)-isocrystals and differential overcoherence. (\(F\)-isocristaux surconvergents et surcohérence différentielle.) Zbl 1203.14025Caro, D. 11 2007 \(L\)-functions associated with arithmetical \({\mathcal D}\)-modules. The case of curves. (Fonctions \(L\) associées aux \({\mathcal D}\)-modules arithmétiques. Cas des courbes.) Zbl 1167.14012Caro, Daniel 29 2006 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.) Zbl 1114.14011Caro, D. 18 2006 Comparing the sheaves of overconvergent isocrystals. (Comparaison des facteurs duaux des isocristaux surconvergents.) Zbl 1165.14305Caro, Daniel 8 2005 Overcoherent arithmetic \(\mathcal D\)-modules. Application to \(L\)-functions. (\(\mathcal D \)-modules arithmétiques surcohérents. Application aux fonctions \(L\).) Zbl 1129.14030Caro, Daniel 21 2004 Differential coherence of unit-root \(F\)-isocrystals. (Cohérence différentielle des \(F\)-isocristaux unités.) Zbl 1047.14009Caro, Daniel 4 2004 all cited Publications top 5 cited Publications all top 5 Cited by 31 Authors 20 Caro, Daniel 6 Abe, Tomoyuki 5 Lazda, Christopher 4 Huyghe, Christine 3 Pál, Ambrus 3 Schmidt, Tobias 2 Ardakov, Konstantin 2 Crew, Richard M. 2 Strauch, Matthias 2 Wadsley, Simon J. 2 Xu, Daxin 1 Agrawal, Shishir 1 Bode, Andreas 1 Castaño Domínguez, Alberto 1 Chiarellotto, Bruno 1 D’Addezio, Marco 1 Kedlaya, Kiran Sridhara 1 Krishnamoorthy, Raju 1 Le Stum, Bernard 1 Marmora, Adriano 1 Matsuda, Shigeki 1 Miyatani, Kazuaki 1 Nakkajima, Yukiyoshi 1 Ohkawa, Sachio 1 Patel, Deepam 1 Shiho, Atsushi 1 Trihan, Fabien 1 Tsuzuki, Nobuo 1 Vauclair, David 1 Yobuko, Fuetaro 1 Zhu, Xinwen all top 5 Cited in 22 Serials 7 Compositio Mathematica 5 Rendiconti del Seminario Matematico della Università di Padova 5 Selecta Mathematica. New Series 4 Annales de l’Institut Fourier 4 Journal of Number Theory 3 Inventiones Mathematicae 3 Documenta Mathematica 3 Journal of the Institute of Mathematics of Jussieu 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Nagoya Mathematical Journal 2 Annals of Mathematics. Second Series 1 Bulletin de la Société Mathématique de France 1 Journal of Algebra 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Frontiers of Mathematics in China 1 Forum of Mathematics, Sigma 1 European Journal of Mathematics all top 5 Cited in 8 Fields 51 Algebraic geometry (14-XX) 11 Number theory (11-XX) 7 Field theory and polynomials (12-XX) 4 Several complex variables and analytic spaces (32-XX) 3 Commutative algebra (13-XX) 3 Topological groups, Lie groups (22-XX) 2 Group theory and generalizations (20-XX) 1 Associative rings and algebras (16-XX) Citations by Year