@article{RSMUP_2007__118__101_0, author = {Kedlaya, Kiran S.}, title = {The $p$-adic local monodromy theorem for fake annuli}, journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova}, pages = {101--146}, publisher = {Seminario Matematico of the University of Padua}, volume = {118}, year = {2007}, mrnumber = {2378392}, zbl = {1164.14004}, language = {en}, url = {http://www.numdam.org/item/RSMUP_2007__118__101_0/} }
TY - JOUR AU - Kedlaya, Kiran S. TI - The $p$-adic local monodromy theorem for fake annuli JO - Rendiconti del Seminario Matematico della Università di Padova PY - 2007 SP - 101 EP - 146 VL - 118 PB - Seminario Matematico of the University of Padua UR - http://www.numdam.org/item/RSMUP_2007__118__101_0/ LA - en ID - RSMUP_2007__118__101_0 ER -
%0 Journal Article %A Kedlaya, Kiran S. %T The $p$-adic local monodromy theorem for fake annuli %J Rendiconti del Seminario Matematico della Università di Padova %D 2007 %P 101-146 %V 118 %I Seminario Matematico of the University of Padua %U http://www.numdam.org/item/RSMUP_2007__118__101_0/ %G en %F RSMUP_2007__118__101_0
Kedlaya, Kiran S. The $p$-adic local monodromy theorem for fake annuli. Rendiconti del Seminario Matematico della Università di Padova, Tome 118 (2007), pp. 101-146. http://www.numdam.org/item/RSMUP_2007__118__101_0/
[1] Filtrations de type Hasse-Arf et monodromie p-adique, Invent. Math., 148 (2002), pp. 285-317. | MR | Zbl
,[2] About a Tsuzuki theorem, in p-adic functional analysis (Ioannina, 2000), Lecture Notes in Pure and Appl. Math. 222, Dekker, New York, 2001, pp. 63-74. | MR | Zbl
,[3] Sur le théorème de l'indice des équations différentielles p-adiques. IV, Invent. Math., 143 (2001), pp. 629-672. | MR | Zbl
- ,[4] Finiteness theorems for the cohomology of an overconvergent isocrystal on a curve, Ann. Sci. École Norm. Sup., 31 (1998), pp. 717-763. | Numdam | MR | Zbl
,[5] Homomorphisms of Barsotti-Tate groups and crystals in positive characteristic, Invent. Math., 134 (1998), pp. 301-333. | MR | Zbl
,[6] The valuative tree, Lecture Notes in Math. 1853, Springer-Verlag, Berlin, 2004. | MR | Zbl
- ,[7] Représentations p-adiques des corps locaux. I, in The Grothendieck Festschrift, Vol. II, Progr. Math. 87, Birkhäuser, Boston, pp. 249-309. | MR | Zbl
,[8] Concrete mathematics: a foundation for computer science, Addison-Wesley, Reading, MA, 1994. | MR | Zbl
- - ,[9] Une formule de congruence pour la fonction z, Exposé XXII in P. Deligne and N.M. Katz, Seminaire de Géométrie Algébrique du Bois-Marie 1967-1969: Groupes de monodromie en géométrie algébrique (SGA 7 II), Lecture Notes in Math. 340, Springer-Verlag, Berlin, 1973. | MR | Zbl
,[10] Descent theorems for overconvergent F-crystals, Ph.D. thesis, Massachusetts Institute of Technology, 2000, available at http://math.mit.edu/~kedlaya.
,[11] A p-adic local monodromy theorem, Annals of Math., 160 (2004), pp. 93-184. | MR | Zbl
,[12] Full faithfulness for overconvergent F-isocrystals, in Geometric aspects of Dwork theory, de Gruyter, Berlin, 2004, pp. 819-835. | MR | Zbl
,[13] Local monodromy for p-adic differential equations: an overview, Intl. J. of Number Theory, 1 (2005), pp. 109-154. | MR | Zbl
,[14] Slope filtrations revisited, Doc. Math., 10 (2005), pp. 447-525. | MR | Zbl
,[15] Finiteness of rigid cohomology with coefficients, Duke Math. J., 134 (2006), pp. 15-97. | MR | Zbl
,[16] Semistable reduction for overconvergent F-isocrystals, I: Unipotence and logarithmic extensions, arXiv preprint math.NT/0405069 (version of 20 Jan 2007); to appear in Compos. Math. | MR | Zbl
,[17] Semistable reduction for overconvergent F-isocrystals, II: A valuation-theoretic approach, arXiv preprint math.NT/0508191 (version of 2 Sep 2007); to appear in Compos. Math.. | MR | Zbl
,[18] Jordan decomposition for a class of singular differential operators, Ark. Mat., 13 (1975), pp. 1-27. | MR | Zbl
,[19] Katz correspondence for quasi-unipotent overconvergent isocrystals, Compos. Math., 134 (2002), pp. 1-34. | MR | Zbl
,[20] Conjecture on Abbes-Saito filtration and Christol-Mebkhout filtration, in Geometric aspects of Dwork theory, de Gruyter, Berlin, 2004, pp. 845-856. | MR | Zbl
,[21] Analogue p-adique du théorème de Turrittin et le théorème de la monodromie p-adique, Invent. Math., 148 (2002), pp. 319-351. | MR | Zbl
,[22] Théorie des valuations, second edition, Les Presses de l'Université de Montréal, Montréal, 1968. | MR | Zbl
,[23] Crystalline fundamental groups. II. Log convergent cohomology and rigid cohomology, J. Math. Sci. Univ. Tokyo, 9 (2002), pp. 1-163. | MR | Zbl
,[24] Finite local monodromy of overconvergent unit-root F-isocrystals on a curve, Amer. J. Math. 120, (1998), pp. 1165-1190. | MR | Zbl
,[25] Slope filtration of quasi-unipotent overconvergent F-isocrystals, Ann. Inst. Fourier (Grenoble) 48 (1998), pp. 379-412. | Numdam | MR | Zbl
,[26] Valuations, in Resolution of singularities (Obergurgl, 1997), Progr. Math., 181, Birkhäuser, Basel, pp. 539-590. | MR | Zbl
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