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Caro, Daniel

Co-Author Distance
Author ID: caro.daniel Recent zbMATH articles by "Caro, Daniel"
Published as: Caro, Daniel; Caro, D.
Documents Indexed: 35 Publications since 2004, including 6 Additional arXiv Preprints
Reviewing Activity: 1 Review
Co-Authors: 3 Co-Authors with 4 Joint Publications
13 Co-Co-Authors

Co-Authors

31 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

31 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

27 Publications have been cited 254 times in 62 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 1167.14012
Caro, Daniel
32
2006
Overcoherent arithmetic \(\mathcal D\)-modules. Application to \(L\)-functions. (\(\mathcal D \)-modules arithmétiques surcohérents. Application aux fonctions \(L\).) Zbl 1129.14030
Caro, Daniel
23
2004
Overholonomic arithmetic \(\mathcal D\)-modules. (\(\mathcal D \)-modules arithmétiques surholonomes.) Zbl 1168.14013
Caro, Daniel
22
2009
Theory of weights in \(p\)-adic cohomology. Zbl 1487.14047
Abe, Tomoyuki; Caro, Daniel
20
2018
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 1114.14011
Caro, D.
19
2006
Overholonomicity of overconvergent \(F\)-isocrystals over smooth varieties. Zbl 1276.14031
Caro, Daniel; Tsuzuki, Nobuo
16
2012
Full faithfulness without Frobenius structure and partially overconvergent isocrystals. (Pleine fidélité sans structure de Frobenius et isocristaux partiellement surconvergents.) Zbl 1307.14025
Caro, Daniel
15
2011
Over convergent \(F\)-isocrystals and differential overcoherence. (\(F\)-isocristaux surconvergents et surcohérence différentielle.) Zbl 1203.14025
Caro, D.
13
2007
Arithmetic \(\mathcal D\)-modules associated with overconvergent isocrystals. Smooth case. (\(\mathcal D\)-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse.) Zbl 1300.14021
Caro, Daniel
11
2009
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 1375.14067
Caro, Daniel
10
2015
Comparing the sheaves of overconvergent isocrystals. (Comparaison des facteurs duaux des isocristaux surconvergents.) Zbl 1165.14305
Caro, Daniel
9
2005
Holonomicity without Frobenius structure. (Holonomie sans structure de Frobenius et critères d’holonomie.) Zbl 1300.14022
Caro, Daniel
8
2011
Stability of the holonomy on quasi-projective varieties. (Stabilité de l’holonomie sur les variétés quasi-projectives.) Zbl 1263.14024
Caro, Daniel
7
2011
On Beilinson’s equivalence for \(p\)-adic cohomology. Zbl 1427.14043
Abe, Tomoyuki; Caro, Daniel
7
2018
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 1349.14064
Caro, Daniel
6
2015
The overcoherence implies the holonomicity. (La surcohérence entraîne l’holonomie.) Zbl 1375.14075
Caro, Daniel
5
2016
Differential coherence of unit-root \(F\)-isocrystals. (Cohérence différentielle des \(F\)-isocristaux unités.) Zbl 1047.14009
Caro, Daniel
5
2004
Overconvergent log-isocrystals and holonomy. (Log-isocristaux surconvergents et holonomie.) Zbl 1308.14018
Caro, Daniel
5
2009
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 1378.14018
Caro, Daniel
4
2016
A characterization of overcoherence. (Une caractérisation de la surcohérence.) Zbl 1213.14041
Caro, Daniel
4
2009
On the compability of the Frobenius isomorphism with relative duality. (Sur la compatibilité à Frobenius de l’isomorphisme de dualité relative.) Zbl 1310.13009
Caro, Daniel
3
2009
Hard Lefschetz theorem in \(p\)-adic cohomology. Zbl 1375.14076
Caro, Daniel
3
2016
Logarithmic \(p\)-bases and arithmetical differential modules. (\(p\)-bases logarithmiques et modules différentiels arithmétiques.) Zbl 1508.14018
Caro, Daniel; Vauclair, David
2
2022
On the preservation of coherence by extraordinary reverse image of a closed immersion. (Sur la préservation de la cohérence par image inverse extraordinaire d’une immersion fermée.) Zbl 1467.14059
Caro, Daniel
2
2021
Stability of holonomicity without Frobenius structure: the case of curves. (Stabilité de l’holonomie sans structure de Frobenius: cas des courbes.) Zbl 1291.14035
Caro, Daniel
1
2011
Unipotent monodromy and arithmetic \({\mathcal {D}}\)-modules. Zbl 1452.14015
Caro, Daniel
1
2018
Lagrangianity for log extendable overconvergent \(F\)-isocrystals. Zbl 1453.14062
Caro, Daniel
1
2017
Logarithmic \(p\)-bases and arithmetical differential modules. (\(p\)-bases logarithmiques et modules différentiels arithmétiques.) Zbl 1508.14018
Caro, Daniel; Vauclair, David
2
2022
On the preservation of coherence by extraordinary reverse image of a closed immersion. (Sur la préservation de la cohérence par image inverse extraordinaire d’une immersion fermée.) Zbl 1467.14059
Caro, Daniel
2
2021
Theory of weights in \(p\)-adic cohomology. Zbl 1487.14047
Abe, Tomoyuki; Caro, Daniel
20
2018
On Beilinson’s equivalence for \(p\)-adic cohomology. Zbl 1427.14043
Abe, Tomoyuki; Caro, Daniel
7
2018
Unipotent monodromy and arithmetic \({\mathcal {D}}\)-modules. Zbl 1452.14015
Caro, Daniel
1
2018
Lagrangianity for log extendable overconvergent \(F\)-isocrystals. Zbl 1453.14062
Caro, Daniel
1
2017
The overcoherence implies the holonomicity. (La surcohérence entraîne l’holonomie.) Zbl 1375.14075
Caro, 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 1378.14018
Caro, Daniel
4
2016
Hard Lefschetz theorem in \(p\)-adic cohomology. Zbl 1375.14076
Caro, Daniel
3
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 1375.14067
Caro, Daniel
10
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 1349.14064
Caro, Daniel
6
2015
Overholonomicity of overconvergent \(F\)-isocrystals over smooth varieties. Zbl 1276.14031
Caro, Daniel; Tsuzuki, Nobuo
16
2012
Full faithfulness without Frobenius structure and partially overconvergent isocrystals. (Pleine fidélité sans structure de Frobenius et isocristaux partiellement surconvergents.) Zbl 1307.14025
Caro, Daniel
15
2011
Holonomicity without Frobenius structure. (Holonomie sans structure de Frobenius et critères d’holonomie.) Zbl 1300.14022
Caro, Daniel
8
2011
Stability of the holonomy on quasi-projective varieties. (Stabilité de l’holonomie sur les variétés quasi-projectives.) Zbl 1263.14024
Caro, Daniel
7
2011
Stability of holonomicity without Frobenius structure: the case of curves. (Stabilité de l’holonomie sans structure de Frobenius: cas des courbes.) Zbl 1291.14035
Caro, Daniel
1
2011
Overholonomic arithmetic \(\mathcal D\)-modules. (\(\mathcal D \)-modules arithmétiques surholonomes.) Zbl 1168.14013
Caro, Daniel
22
2009
Arithmetic \(\mathcal D\)-modules associated with overconvergent isocrystals. Smooth case. (\(\mathcal D\)-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse.) Zbl 1300.14021
Caro, Daniel
11
2009
Overconvergent log-isocrystals and holonomy. (Log-isocristaux surconvergents et holonomie.) Zbl 1308.14018
Caro, Daniel
5
2009
A characterization of overcoherence. (Une caractérisation de la surcohérence.) Zbl 1213.14041
Caro, Daniel
4
2009
On the compability of the Frobenius isomorphism with relative duality. (Sur la compatibilité à Frobenius de l’isomorphisme de dualité relative.) Zbl 1310.13009
Caro, Daniel
3
2009
Over convergent \(F\)-isocrystals and differential overcoherence. (\(F\)-isocristaux surconvergents et surcohérence différentielle.) Zbl 1203.14025
Caro, D.
13
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 1167.14012
Caro, Daniel
32
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 1114.14011
Caro, D.
19
2006
Comparing the sheaves of overconvergent isocrystals. (Comparaison des facteurs duaux des isocristaux surconvergents.) Zbl 1165.14305
Caro, Daniel
9
2005
Overcoherent arithmetic \(\mathcal D\)-modules. Application to \(L\)-functions. (\(\mathcal D \)-modules arithmétiques surcohérents. Application aux fonctions \(L\).) Zbl 1129.14030
Caro, Daniel
23
2004
Differential coherence of unit-root \(F\)-isocrystals. (Cohérence différentielle des \(F\)-isocristaux unités.) Zbl 1047.14009
Caro, Daniel
5
2004
all cited Publications top 5 cited Publications
all top 5

Cited by 42 Authors

21 Caro, Daniel
7 Abe, Tomoyuki
4 Huyghe, Christine
4 Pál, Ambrus
3 Lazda, Christopher
3 Schmidt, Tobias
3 Xu, Daxin
2 Ardakov, Konstantin
2 Crew, Richard M.
2 Kedlaya, Kiran Sridhara
2 Strauch, Matthias
2 Tsuzuki, Nobuo
2 Wadsley, Simon J.
1 Agrawal, Shishir
1 Ambrosi, Emiliano
1 Bode, Andreas
1 Castaño Domínguez, Alberto
1 Chiarellotto, Bruno
1 D’Addezio, Marco
1 Di Proietto, Valentina
1 Fu, Lei
1 Krishnamoorthy, Raju
1 Le Stum, Bernard
1 Li, Peigen
1 Marmora, Adriano
1 Matsuda, Shigeki
1 Miyatani, Kazuaki
1 Nakkajima, Yukiyoshi
1 Ohkawa, Sachio
1 Patel, Deepam
1 Schneider, Peter
1 Scholze, Peter
1 Shiho, Atsushi
1 Temkin, Michael
1 Tonini, Fabio
1 Trihan, Fabien
1 Vauclair, David
1 Wan, Daqing
1 Werner, Annette
1 Yobuko, Fuetaro
1 Zhang, Lei
1 Zhu, Xinwen
all top 5

Cited in 26 Serials

9 Compositio Mathematica
5 Rendiconti del Seminario Matematico della Università di Padova
5 Selecta Mathematica. New Series
4 Annales de l’Institut Fourier
4 Inventiones Mathematicae
4 Journal of Number Theory
3 Mathematische Annalen
3 Documenta Mathematica
3 Journal of the Institute of Mathematics of Jussieu
2 Bulletin de la Société Mathématique de France
2 Manuscripta Mathematica
2 Nagoya Mathematical Journal
2 Annals of Mathematics. Second Series
1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
1 Journal of Algebra
1 Journal für die Reine und Angewandte Mathematik
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 Journal of Algebraic Geometry
1 Oberwolfach Reports
1 Frontiers of Mathematics in China
1 Forum of Mathematics, Sigma
1 European Journal of Mathematics
all top 5

Cited in 10 Fields

60 Algebraic geometry (14-XX)
15 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 General and overarching topics; collections (00-XX)
1 Associative rings and algebras (16-XX)
1 Special functions (33-XX)

Citations by Year