@article{PMIHES_2004__99__117_0, author = {Abbes, Ahmed and Mokrane, Abdellah}, title = {Sous-groupes canoniques et cycles \'evanescents $p$-adiques pour les vari\'et\'es ab\'eliennes}, journal = {Publications Math\'ematiques de l'IH\'ES}, pages = {117--162}, publisher = {Springer}, volume = {99}, year = {2004}, doi = {10.1007/s10240-004-0022-x}, zbl = {1062.14057}, language = {fr}, url = {https://numdam.org/articles/10.1007/s10240-004-0022-x/} }
TY - JOUR AU - Abbes, Ahmed AU - Mokrane, Abdellah TI - Sous-groupes canoniques et cycles évanescents $p$-adiques pour les variétés abéliennes JO - Publications Mathématiques de l'IHÉS PY - 2004 SP - 117 EP - 162 VL - 99 PB - Springer UR - https://numdam.org/articles/10.1007/s10240-004-0022-x/ DO - 10.1007/s10240-004-0022-x LA - fr ID - PMIHES_2004__99__117_0 ER -
%0 Journal Article %A Abbes, Ahmed %A Mokrane, Abdellah %T Sous-groupes canoniques et cycles évanescents $p$-adiques pour les variétés abéliennes %J Publications Mathématiques de l'IHÉS %D 2004 %P 117-162 %V 99 %I Springer %U https://numdam.org/articles/10.1007/s10240-004-0022-x/ %R 10.1007/s10240-004-0022-x %G fr %F PMIHES_2004__99__117_0
Abbes, Ahmed; Mokrane, Abdellah. Sous-groupes canoniques et cycles évanescents $p$-adiques pour les variétés abéliennes. Publications Mathématiques de l'IHÉS, Tome 99 (2004), pp. 117-162. doi : 10.1007/s10240-004-0022-x. https://numdam.org/articles/10.1007/s10240-004-0022-x/
1. Ramification of local fields with imperfect residue fields, Am. J. Math., 124 (2002), 879-920. | MR | Zbl
and ,2. Ramification of local fields with imperfect residue fields II, Documenta Math., volume en l'honneur de K. Kato (2003), 5-72. | Zbl
and ,3. P. Berthelot, Cohomologie rigide et cohomologie rigide à supports propres, première partie, Prépublication 96-03 de Rennes (1996).
4. Finitude et pureté cohomologique en cohomologie rigide, Invent. Math., 128 (1997), 329-377. | MR | Zbl
,5. p-adic étale cohomology, Publ. Math., Inst. Hautes Étud. Sci., 63 (1986), 107-152. | Numdam | MR | Zbl
and ,6. Non-Archimedean Analysis, A Series of Comprehensive Studies in Mathematics 261, Springer-Verlag (1984). | MR | Zbl
, , and ,7. Néron models, Ergebnisse der Mathematik 21 (1990), Springer-Verlag. | MR | Zbl
, , and ,8. Formal and rigid geometry, II. Flattening techniques, Math. Ann., 296 (1993), 403-429. | MR | Zbl
and ,9. Formal and rigid geometry, IV. The reduced fiber theorem, Invent. Math., 119 (1995), 361-398. | MR | Zbl
, , and ,10. Classical and overconvergent modular forms, Invent. Math., 124 (1996), 215-241. | MR | Zbl
,11. p-adic Banach spaces and families of modular forms, Invent. Math., 127 (1997), 417-479. | MR | Zbl
,12. Crystalline Dieudonné module theory via formal and rigid geometry, Publ. Math., Inst. Hautes Étud. Sci., 82 (1995), 5-96. | Numdam | MR | Zbl
,13. L. Illusie, Cristaux ordinaires et coordonnées canoniques, avec Appendice de N. Katz, dans : Surface algébriques, éd. J. Giraud, L. Illusie, M. Raynaud, Lect. Notes Math., 868 (1981), 80-137. | MR | Zbl
and14. Les schémas de modules de courbes elliptiques, Lect. Notes Math., 349 (1973), 143-316. | MR | Zbl
and ,15. p-adic cycles, Publ. Math., Inst. Hautes Étud. Sci., 37 (1969), 27-115. | Numdam | MR | Zbl
,16. On Hecke polynomials, Invent. Math., 12 (1971), 249-256. | MR | Zbl
,17. Solution d'équations à coefficients dans un anneau hensélien, Ann. Sci. Éc. Norm. Supér., IV. Sér., 6 (1973), 553-604. | Numdam | Zbl
,18. Degeneration on abelian varieties, Ergebnisse der Mathematik 22 (1990), Springer-Verlag. | MR | Zbl
and ,19. Formes différentielles et Modules de Tate des variétés abéliennes sur les corps locaux, Invent. Math., 65 (1982), 379-409. | MR | Zbl
,20. p-adic periods and p-adic étale cohomology, Cont. Math., 67 (1987), 179-207. | MR | Zbl
and ,21. Algebraic geometry, Springer-Verlag (1977). | MR | Zbl
,22. Swan conductors for characters of degree one in the imperfect residue field case, Cont. Math., 83 (1989), 101-131. | MR | Zbl
,23. On p-adic vanishing cycles (Application of ideas of Fontaine-Messing), Adv. Stud. Pure Math., 10 (1987), 207-251. | MR | Zbl
,24. p-adic properties of modular schemes and modular forms, dans : Modular functions of one variable, III (Proc. Internat. Summer School, Univ. Antwerp, Antwerp, 1972), Lect. Notes Math., 350 (1973), 69-190. | MR | Zbl
,25. Serre-Tate local moduli, dans : Surface algébriques, éd. J. Giraud, L. Illusie, M. Raynaud, Lect. Notes Math., 868 (1981), 138-202. | MR | Zbl
,26. Formal cohomology: III. Fixed point theorems, Ann. Math., 93 (1971), 315-343. | MR | Zbl
,27. Formal cohomology: I, Ann. Math., 88 (1968), 181-217; Formal cohomology: II. The cohomology sequence of a pair, Ann. Math., 88 (1968) 218-238. | MR | Zbl
and G. Washnitzer,28. Pinceaux de variétés abéliennes, Astérisque, 129 (1985). | Numdam | MR | Zbl
,29. Geometric invariant theory, Springer-Verlag (1965). | MR | Zbl
,30. Schémas en groupes de type (p,...,p), Bull. Soc. Math. Fr., 102 (1974), 241-280. | Numdam | MR | Zbl
,31. Higher rank case of Dwork's conjecture, J. Am. Math. Soc., 13 (2000), 807-852. | Zbl
,32. Rank one case of Dwork's conjecture, J. Am. Math. Soc., 13 (2000), 853-908. | Zbl
,- Partial Hasse Invariants, Partial Degrees, and the Canonical Subgroup, Canadian Journal of Mathematics, Volume 70 (2018) no. 4, p. 742 | DOI:10.4153/cjm-2016-052-8
- Classicité de formes modulaires surconvergentes, Annals of Mathematics, Volume 183 (2016) no. 3, p. 975 | DOI:10.4007/annals.2016.183.3.5
- p-adic families of Siegel modular cuspforms, Annals of Mathematics (2015), p. 623 | DOI:10.4007/annals.2015.181.2.5
- On torsion in the cohomology of locally symmetric varieties, Annals of Mathematics (2015), p. 945 | DOI:10.4007/annals.2015.182.3.3
- Ramification and nearby cycles for
-adic sheaves on relative curves, Tohoku Mathematical Journal, Volume 67 (2015) no. 2 | DOI:10.2748/tmj/1435237040 - On lower ramification subgroups and canonical subgroups, Algebra Number Theory, Volume 8 (2014) no. 2, p. 303 | DOI:10.2140/ant.2014.8.303
- Canonical subgroups via Breuil–Kisin modules forp=2, Journal of Number Theory, Volume 137 (2014), p. 142 | DOI:10.1016/j.jnt.2013.11.004
- Canonical subgroups via Breuil–Kisin modules, Mathematische Zeitschrift, Volume 274 (2013) no. 3-4, p. 933 | DOI:10.1007/s00209-012-1102-0
- An upper bound on the Abbes–Saito filtration for finite flat group schemes and applications, Algebra Number Theory, Volume 6 (2012) no. 2, p. 231 | DOI:10.2140/ant.2012.6.231
- On ramification filtrations and p-adic differential equations, II: mixed characteristic case, Compositio Mathematica, Volume 148 (2012) no. 2, p. 415 | DOI:10.1112/s0010437x1100707x
- Modularité, formes de Siegel et surfaces abéliennes, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2012 (2012) no. 666 | DOI:10.1515/crelle.2011.123
- Canonical subgroups over Hilbert modular varieties, Journal für die reine und angewandte Mathematik (Crelles Journal), Volume 2012 (2012) no. 670, p. 1 | DOI:10.1515/crelle.2011.149
- Ramification correspondence of finite flat group schemes over equal and mixed characteristic local fields, Journal of Number Theory, Volume 132 (2012) no. 10, p. 2084 | DOI:10.1016/j.jnt.2012.04.003
- Higher-level canonical subgroups for p-divisible groups, Journal of the Institute of Mathematics of Jussieu, Volume 11 (2012) no. 2, p. 363 | DOI:10.1017/s1474748011000132
- Prolongement analytique sur les variétés de Siegel, Duke Mathematical Journal, Volume 157 (2011) no. 1 | DOI:10.1215/00127094-2011-004
- On ramification filtrations andp-adic differential modules, I: the equal characteristic case, Algebra Number Theory, Volume 4 (2010) no. 8, p. 969 | DOI:10.2140/ant.2010.4.969
- Canonical subgroups of Barsotti-Tate groups, Annals of Mathematics, Volume 172 (2010) no. 2, p. 955 | DOI:10.4007/annals.2010.172.955
- Sous-groupes canoniques partiels, manuscripta mathematica, Volume 133 (2010) no. 1-2, p. 19 | DOI:10.1007/s00229-010-0359-z
- Canonical subgroups over Hilbert modular varieties, Comptes Rendus. Mathématique, Volume 347 (2009) no. 17-18, p. 985 | DOI:10.1016/j.crma.2009.07.008
- Tame characters and ramification of finite flat group schemes, Journal of Number Theory, Volume 128 (2008) no. 5, p. 1091 | DOI:10.1016/j.jnt.2007.05.006
- Application de Hodge-Tate duale d'un groupe de Lubin-Tate, immeuble de Bruhat-Tits du groupe linéaire et filtrations de ramification, Duke Mathematical Journal, Volume 140 (2007) no. 3 | DOI:10.1215/s0012-7094-07-14033-x
- Torsors under some group schemes of order pn, Journal of Algebra, Volume 318 (2007) no. 2, p. 1057 | DOI:10.1016/j.jalgebra.2007.07.022
- Ramification of a finite flat group scheme over a local field, Journal of Number Theory, Volume 118 (2006) no. 2, p. 145 | DOI:10.1016/j.jnt.2005.08.006
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