@book{AST_2004__293__1_0, author = {Emerton, Matthew and Kisin, Mark}, title = {The {Riemann-Hilbert} correspondence for unit <span class="mathjax-formula">$F$</span>-crystals}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {293}, year = {2004}, zbl = {1056.14025}, mrnumber = {2071510}, language = {en}, url = {http://www.numdam.org/item/AST_2004__293__1_0/} }
TY - BOOK AU - Emerton, Matthew AU - Kisin, Mark TI - The Riemann-Hilbert correspondence for unit <span class="mathjax-formula">$F$</span>-crystals T3 - Astérisque PY - 2004 DA - 2004/// IS - 293 PB - Société mathématique de France UR - http://www.numdam.org/item/AST_2004__293__1_0/ UR - https://zbmath.org/?q=an%3A1056.14025 UR - https://www.ams.org/mathscinet-getitem?mr=2071510 LA - en ID - AST_2004__293__1_0 ER -
Emerton, Matthew; Kisin, Mark. The Riemann-Hilbert correspondence for unit $F$-crystals. Astérisque, no. 293 (2004), 268 p. http://numdam.org/item/AST_2004__293__1_0/
[Be] On the derived category of perverse sheaves, in -theory, arithmetic and geometry (Moscow, 1984-86), Lect. Notes in Math., vol. 1289, Springer, 1987, p. 27-41. | MR 923133 | Zbl 0652.14008
-[BBD] Faisceaux pervers, in Analyse et topologie sur les espaces singuliers (Luminy, 1981), Astérisque, vol. 100, Société Mathématique de France, Paris, 1982, p. 5-171. | Numdam | MR 751966 | Zbl 0536.14011
, & -[Ber1] -modules arithmétiques I. Opérateurs différentiels de niveau fini, Ann. scient. Ec. Norm. Sup. 4e série 29 (1996), p. 185-272. | EuDML 82408 | Numdam | MR 1373933 | Zbl 0886.14004
-[Ber2] -modules arithmétiques II. Descente par Frobenius, Mém. Soc. math. France (N.S.), vol. 81, Société Mathématique de France, Paris, 2000. | EuDML 94932 | Numdam | MR 1775613 | Zbl 0948.14017
-[Ber3] Introduction à la théorie arithmétique des -modules, in Cohomologies -adiques et applications arithmétiques (II), Astérisque, vol. 279, Société Mathématique de France, Paris, 2002, p. 1-80. | Zbl 1098.14010
-[Ber4] -modules arithmétiques III. Images directes et inverses, in preparation.
-[BP] Cohomological Theory of Crystals over Function Fields, work in progress. | Zbl 1186.14002
& -[Bo] Algebraic -modules, Perspectives in Math., vol. 2, Boston, Academic Press, 1987. | Zbl 0642.32001
(ed.) -[Con] Grothendieck duality and base change, Lect. Notes in Math., vol. 1750, Springer, 2000. | Zbl 0992.14001
-[Cr] -functions of -adic characters and geometric Iwasawa theory, Invent. Math. 88 (1987), p. 395-403. | Article | EuDML 143459 | Zbl 0615.14013
-[De] SGA 4 1/2, vol. 569, Springer, 1977.
(ed.) - Séminaire de Géométrie Algébrique du Bois-Marie[DI] Relèvements modulo et décomposition du complexe de de Rham, Invent Math. 89 (1987), p. 247-270. | Article | EuDML 143480 | Zbl 0632.14017
& -[EK1] An introduction to the Riemann-Hilbert correspondence for unit -crystals, to appear in the proceedings of the Dwork memorial conference. | Zbl 1104.14012
& -[EK2] Unit -functions and a conjecture of Katz, Ann. of Math. (2) 153 (2001), p. 329-354. | Article | Zbl 1076.14027
& -[Fa] Crystalline cohomology and -adic Galois representations, in Algebraic Analysis, Geometry, and Number Theory, Proceedings of the J AMI Inaugural Conference, The John Hopkins Univ. Press, 1989, p. 25-80. | Zbl 0805.14008
-[Ga] Notes on some -structures, to appear in the proceedings of the Dwork memorial conference. | Zbl 1074.14018
-[SGA4] Théorie des topos et cohomologie étale des schémas, Lect. Notes in Math., vol. 269, 270, 305, Springer, 1972-73. | Zbl 0234.00007
, & -[Ha1] Residues and Duality, Lect. Notes in Math., vol. 20, Springer, 1966. | EuDML 203789 | Zbl 0212.26101
-[Ha2] Algebraic Geometry, Graduate Texts in Math., vol. 52, Springer, 1977. | Article | Zbl 0367.14001
-[deJ] Smoothness, semi-stability and alterations, Publ. Math. Inst. Hautes Études Sci. 83 (1996), p. 51-93. | Article | EuDML 104112 | Numdam | Zbl 0916.14005
-[Ka1] Travaux de Dwork, in Séminaire Bourbaki, Lect. Notes in Math., vol. 317, Springer, 1972, p. 167-200. | EuDML 109810 | Numdam | Zbl 0259.14007
-[Ka2] -adic Properties of Modular Forms, in Modular Functions of One Variable, Lect. Notes in Math., vol. 350, Springer, 1973, p. 69-190. | Article | Zbl 0271.10033
-[Lyu] -modules: applications to local cohomology and -modules in characteristic , J. reine angew. Math. 491 (1997), p. 65-130. | EuDML 153947 | Zbl 0904.13003
-[TW] -functions of -sheaves and Drinfeld modules, J. Amer. Math. Soc. 9 (1996), no. 3, p. 755-781. | Article | Zbl 0864.11032
& -[Ve] Base change for twisted inverse image of coherent sheaves, in International colloquium on algebraic geometry (Bombay, 1968), Oxford Univ. Press, 1969, p. 393-408. | Zbl 0202.19902
-[Vi1] Théorèmes de dualité locale et globale dans la théorie arithmétique de -modules, Thèse, Université de Rennes I, 1995.
-[Vi2] Trace et dualité relative pour les -modules arithmétiques: Complexe de Čech-Alexander et morphisme trace, prépublication IRMAR 27, 2000. | Zbl 1083.14017
-[Wa] Meromorphic continuation of -functions of -adic representations, Ann. of Math. 143 (1996), p. 469-498. | Article | Zbl 0868.14011
-[We] An introduction to homological algebra, Cambridge studies in advanced mathematics, vol. 38, Cambridge Univ. Press, 1994. | Zbl 0797.18001
-