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 PDFBibTeX XMLCite \textit{D. Caro} and \textit{D. Vauclair}, Ann. Inst. Fourier 72, No. 3, 1011--1096 (2022; Zbl 1508.14018) Full Text: DOI arXiv
Caro, Daniel Some elements on Berthelot’s arithmetic \(\mathscr{D}\)-modules. (English) Zbl 1457.14041 Anglès, Bruno (ed.) et al., Arithmetic and geometry over local fields. VIASM 2018. Based on lectures given during the program “Arithmetic and geometry of local and global fields”, summer 2018, Hanoi, Vietnam. Cham: Springer. Lect. Notes Math. 2275, 1-28 (2021). MSC: 14F10 14F30 14-01 PDFBibTeX XMLCite \textit{D. Caro}, Lect. Notes Math. 2275, 1--28 (2021; Zbl 1457.14041) Full Text: DOI
Caro, Daniel 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.) (French. English summary) Zbl 1467.14059 Nagoya Math. J. 241, 125-170 (2021). MSC: 14F30 14F10 PDFBibTeX XMLCite \textit{D. Caro}, Nagoya Math. J. 241, 125--170 (2021; Zbl 1467.14059) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Caro}, J. Inst. Math. Jussieu 18, No. 5, 957--991 (2019; Zbl 1440.14109) Full Text: DOI arXiv
Caro, Daniel Unipotent monodromy and arithmetic \({\mathcal {D}}\)-modules. (English) Zbl 1452.14015 Manuscr. Math. 156, No. 1-2, 81-115 (2018). Reviewer: Shishir Agrawal (Colorado Springs) MSC: 14F10 14F30 12H25 14G17 PDFBibTeX XMLCite \textit{D. Caro}, Manuscr. Math. 156, No. 1--2, 81--115 (2018; Zbl 1452.14015) Full Text: DOI arXiv
Caro, Daniel Lagrangianity for log extendable overconvergent \(F\)-isocrystals. (English) Zbl 1453.14062 Math. Z. 287, No. 1-2, 325-339 (2017). MSC: 14F30 14F10 16D80 32C38 PDFBibTeX XMLCite \textit{D. Caro}, Math. Z. 287, No. 1--2, 325--339 (2017; Zbl 1453.14062) 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 PDFBibTeX XMLCite \textit{D. Caro}, Bull. Soc. Math. Fr. 144, No. 3, 429--475 (2016; Zbl 1375.14075) Full Text: DOI Link
Caro, Daniel On stability of \(\mathcal{D}\)-modules under tensor product of complex. (Sur la stabilité par produit tensoriel de complexes de \(\mathcal{D}\)-modules arithmétiques.) (French. English summary) Zbl 1349.14064 Manuscr. Math. 147, No. 1-2, 1-41 (2015). MSC: 14F10 14F30 PDFBibTeX XMLCite \textit{D. Caro}, Manuscr. Math. 147, No. 1--2, 1--41 (2015; Zbl 1349.14064) Full Text: DOI
Caro, Daniel; Tsuzuki, Nobuo Overholonomicity of overconvergent \(F\)-isocrystals over smooth varieties. (English) Zbl 1276.14031 Ann. Math. (2) 176, No. 2, 747-813 (2012). Reviewer: Elmar Große-Klönne (Berlin) MSC: 14F30 PDFBibTeX XMLCite \textit{D. Caro} and \textit{N. Tsuzuki}, Ann. Math. (2) 176, No. 2, 747--813 (2012; Zbl 1276.14031) Full Text: DOI arXiv
Caro, Daniel Full faithfulness without Frobenius structure and partially overconvergent isocrystals. (Pleine fidélité sans structure de Frobenius et isocristaux partiellement surconvergents.) (French) Zbl 1307.14025 Math. Ann. 349, No. 4, 747-805 (2011). MSC: 14F10 14F30 PDFBibTeX XMLCite \textit{D. Caro}, Math. Ann. 349, No. 4, 747--805 (2011; Zbl 1307.14025) Full Text: DOI arXiv
Caro, Daniel On the compability of the Frobenius isomorphism with relative duality. (Sur la compatibilité à Frobenius de l’isomorphisme de dualité relative.) (French) Zbl 1310.13009 Rend. Semin. Mat. Univ. Padova 122, 235-286 (2009). MSC: 13A35 13G05 14F30 PDFBibTeX XMLCite \textit{D. Caro}, Rend. Semin. Mat. Univ. Padova 122, 235--286 (2009; Zbl 1310.13009) Full Text: DOI arXiv EuDML Link
Caro, Daniel Overconvergent log-isocrystals and holonomy. (Log-isocristaux surconvergents et holonomie.) (French) Zbl 1308.14018 Compos. Math. 145, No. 6, 1465-1503 (2009). MSC: 14F10 14F30 PDFBibTeX XMLCite \textit{D. Caro}, Compos. Math. 145, No. 6, 1465--1503 (2009; Zbl 1308.14018) Full Text: DOI arXiv
Caro, Daniel Arithmetic \(\mathcal D\)-modules associated with overconvergent isocrystals. Smooth case. (\(\mathcal D\)-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse.) (French) Zbl 1300.14021 Bull. Soc. Math. Fr. 137, No. 4, 453-543 (2009). Reviewer: Alberto Castaño Domínguez (Sevilla) MSC: 14F10 14F30 PDFBibTeX XMLCite \textit{D. Caro}, Bull. Soc. Math. Fr. 137, No. 4, 453--543 (2009; Zbl 1300.14021) Full Text: DOI Link
Caro, D. Over convergent \(F\)-isocrystals and differential overcoherence. (\(F\)-isocristaux surconvergents et surcohérence différentielle.) (English) Zbl 1203.14025 Invent. Math. 170, No. 3, 507-539 (2007). Reviewer: Christine Noot-Huyghe (Strasbourg) MSC: 14F30 14F10 PDFBibTeX XMLCite \textit{D. Caro}, Invent. Math. 170, No. 3, 507--539 (2007; Zbl 1203.14025) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{D. Caro}, Invent. Math. 166, No. 2, 397--456 (2006; Zbl 1114.14011) Full Text: DOI arXiv
Caro, Daniel Comparing the sheaves of overconvergent isocrystals. (Comparaison des facteurs duaux des isocristaux surconvergents.) (English) Zbl 1165.14305 Rend. Semin. Mat. Univ. Padova 114, 131-211 (2005). Reviewer: Laurent Berger (Lyon) (MR2207865) MSC: 14F10 14F30 32C38 PDFBibTeX XMLCite \textit{D. Caro}, Rend. Semin. Mat. Univ. Padova 114, 131--211 (2005; Zbl 1165.14305) Full Text: EuDML Link
Caro, Daniel Differential coherence of unit-root \(F\)-isocrystals. (Cohérence différentielle des \(F\)-isocristaux unités.) (French. Abridged English version) Zbl 1047.14009 C. R., Math., Acad. Sci. Paris 338, No. 2, 145-150 (2004). Reviewer: Lucian Bădescu (Genova) MSC: 14F30 14F10 PDFBibTeX XMLCite \textit{D. Caro}, C. R., Math., Acad. Sci. Paris 338, No. 2, 145--150 (2004; Zbl 1047.14009) Full Text: DOI