@article{RSMUP_2009__122__235_0, author = {Caro, Daniel}, title = {Sur la compatibilit\'e \`a {Frobenius} de l'isomorphisme de dualit\'e relative}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {235--286}, publisher = {Seminario Matematico of the University of Padua}, volume = {122}, year = {2009}, mrnumber = {2582839}, language = {fr}, url = {http://archive.numdam.org/item/RSMUP_2009__122__235_0/} }
TY - JOUR AU - Caro, Daniel TI - Sur la compatibilité à Frobenius de l'isomorphisme de dualité relative JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2009 SP - 235 EP - 286 VL - 122 PB - Seminario Matematico of the University of Padua UR - http://archive.numdam.org/item/RSMUP_2009__122__235_0/ LA - fr ID - RSMUP_2009__122__235_0 ER -
%0 Journal Article %A Caro, Daniel %T Sur la compatibilité à Frobenius de l'isomorphisme de dualité relative %J Rendiconti del Seminario Matematico della Università di Padova %D 2009 %P 235-286 %V 122 %I Seminario Matematico of the University of Padua %U http://archive.numdam.org/item/RSMUP_2009__122__235_0/ %G fr %F RSMUP_2009__122__235_0
Caro, Daniel. Sur la compatibilité à Frobenius de l'isomorphisme de dualité relative. Rendiconti del Seminario Matematico della Università di Padova, Tome 122 (2009), pp. 235-286. http://archive.numdam.org/item/RSMUP_2009__122__235_0/
[Ber96a] Cohérence différentielle des algèbres de fonctions surconvergentes, C. R. Acad. Sci. Paris Sér. I Math., 323, no. 1 (1996), pp. 35-40. | MR | Zbl
,[Ber96b] D-modules arithmétiques. I. Opérateurs différentiels de niveau fini, Ann. Sci. École Norm. Sup. (4), 29, no. 2 (1996), pp. 185-272. | Numdam | MR | Zbl
,[Ber00] D-modules arithmétiques. II. Descente par Frobenius, Mém. Soc. Math. Fr. (N.S.), no. 81 (2000), pp. vi+136. | Numdam | MR | Zbl
,[Ber02] Introduction à la théorie arithmétique des D-modules, Astérisque, no. 279 (2002), pp. 1-80, Cohomologies p-adiques et applications arithmétiques, II. | Numdam | MR | Zbl
,[Car04a] Cohérence différentielle des F-isocristaux unités, C. R. Math. Acad. Sci. Paris, 338, no. 2 (2004), pp. 145-150. | MR | Zbl
,[Car04b] D-modules arithmétiques surcohérents. Application aux fonctions L, Ann. Inst. Fourier, Grenoble, 54, no. 6 (2004), pp. 1943-1996. | Numdam | MR | Zbl
,[Car05a] Comparaison des foncteurs duaux des isocristaux surconvergents, Rend. Sem. Mat. Univ. Padova, 114 (2005), pp. 131-211. | Numdam | MR | Zbl
,[Car06a] Dévissages des F-complexes de D-modules arithmétiques en F-isocristaux surconvergents, Invent. Math., 166, no. 2 (2006), pp. 397-456. | MR | Zbl
,[Car06b] Fonctions L associées aux D-modules arithmétiques. Cas des courbes, Compositio Mathematica, 142, no. 01 (2006), pp. 169-206. | MR | Zbl
,[Car07] Overconvergent F-isocrystals and differential overcoherence, Invent. Math., 170, no. 3 (2007), pp. 507-539. | MR
,[Car09] D-modules arithmétiques associés aux isocristaux surconvergents. Cas lisse, Bulletin de la SMF 137, fascicul 4 (2009), pp. 453-543. | Numdam | MR
,[dJ96] Smoothness, semi-stability and alterations, Inst. Hautes Études Sci. Publ. Math., no. 83 (1996), pp. 51-93. | Numdam | MR | Zbl
,[Gro60] Éléments de géométrie algébrique. I. Le langage des schémas, Inst. Hautes Études Sci. Publ. Math., no. 4 (1960), p. 228. | Numdam | MR | Zbl
,[Har66] Residues and duality (Springer-Verlag, Berlin, 1966). | MR
,[Kedb] Semistable reduction for overconvergent F-isocrystals, IV: Local semistable reduction at nonmonomial valuations, http:// aps.arxiv.org/format/0712.3400.
,[Ked04] Full faithfulness for overconvergent F-isocrystals, Geometric aspects of Dwork theory. Vol. I, II, Walter de Gruyter GmbH 835. | MR | Zbl
,[Ked07] Semistable reduction for overconvergent F-isocrystals. I. Unipotence and logarithmic extensions, Compos. Math., 143, no. 5 (2007), pp. 1164-1212. | MR | Zbl
,[Ked08] Semistable reduction for overconvergent F-isocrystals. II. A valuation-theoretic approach, Compos. Math., 144, no. 3 (2008), pp. 657-672. | MR | Zbl
,[Ked09] Semistable reduction for overconvergent F-isocrystals, III: Local semistable reduction at monomial valuations, Compos. Math., 145, no. 1 (2009), pp. 143-172. | MR
,[Tsu02] Morphisms of F-isocrystals and the finite monodromy theorem for unit-root F-isocrystals, Duke Math. J., 111, no. 3 (2002), pp. 385-418. | MR | Zbl
,[Vir00] Dualité locale et holonomie pour les D-modules arithmétiques, Bull. Soc. Math. France, 128, no. 1 (2000), pp. 1-68. | Numdam | MR | Zbl
,[Vir04] Trace et dualité relative pour les D-modules arithmétiques, Geometric aspects of Dwork theory. Vol. I, II, Walter de Gruyter GmbH & Co. KG (Berlin, 2004), pp. 1039-1112. | MR | Zbl
,