Sous-groupes canoniques et cycles évanescents p-adiques pour les variétés abéliennes

 Access to full text

 Full (PDF)

1. 1. A. Abbes and T. Saito, Ramification of local fields with imperfect residue fields, Am. J. Math., 124 (2002), 879–920. Zbl1084.11064MR1925338
2. 2. A. Abbes and T. Saito, Ramification of local fields with imperfect residue fields II, Documenta Math., volume en l’honneur de K. Kato (2003), 5–72. Zbl1127.11349
3. 3. P. Berthelot, Cohomologie rigide et cohomologie rigide à supports propres, première partie, Prépublication 96–03 de Rennes (1996). 
4. 4. P. Berthelot, Finitude et pureté cohomologique en cohomologie rigide, Invent. Math., 128 (1997), 329–377. Zbl0908.14005MR1440308
5. 5. S. Bloch and K. Kato, p-adic étale cohomology, Publ. Math., Inst. Hautes Étud. Sci., 63 (1986), 107–152. Zbl0613.14017MR849653
6. 6. S. Bosch, U. Güntzer, and R. Remmert, Non–Archimedean Analysis, A Series of Comprehensive Studies in Mathematics 261, Springer–Verlag (1984). Zbl0539.14017MR746961
7. 7. S. Bosch, W. Lütkebohmert, and M. Raynaud, Néron models, Ergebnisse der Mathematik 21 (1990), Springer-Verlag. Zbl0705.14001MR1045822
8. 8. S. Bosch and W. Lütkebohmert, Formal and rigid geometry, II. Flattening techniques, Math. Ann., 296 (1993), 403–429. Zbl0808.14018MR1225983
9. 9. S. Bosch, W. Lütkebohmert, and M. Raynaud, Formal and rigid geometry, IV. The reduced fiber theorem, Invent. Math., 119 (1995), 361–398. Zbl0839.14014MR1312505
10. 10. R. Coleman, Classical and overconvergent modular forms, Invent. Math., 124 (1996), 215–241. Zbl0851.11030MR1369416
11. 11. R. Coleman, p-adic Banach spaces and families of modular forms, Invent. Math., 127 (1997), 417–479. Zbl0918.11026MR1431135
12. 12. A. J. de Jong, Crystalline Dieudonné module theory via formal and rigid geometry, Publ. Math., Inst. Hautes Étud. Sci., 82 (1995), 5–96. Zbl0864.14009MR1383213
13. 13. P. Deligne and 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. Zbl0537.14012MR638599
14. 14. P. Deligne and M. Rapoport, Les schémas de modules de courbes elliptiques, Lect. Notes Math., 349 (1973), 143–316. Zbl0281.14010MR337993
15. 15. B. Dwork, p-adic cycles, Publ. Math., Inst. Hautes Étud. Sci., 37 (1969), 27–115. Zbl0284.14008MR294346
16. 16. B. Dwork, On Hecke polynomials, Invent. Math., 12 (1971), 249–256. Zbl0219.14014MR302591
17. 17. R. Elkik, Solution d’équations à coefficients dans un anneau hensélien, Ann. Sci. Éc. Norm. Supér., IV. Sér., 6 (1973), 553–604. Zbl0327.14001
18. 18. G. Faltings and C.-L. Chai, Degeneration on abelian varieties, Ergebnisse der Mathematik 22 (1990), Springer-Verlag. Zbl0744.14031MR1083353
19. 19. J.-M. Fontaine, Formes différentielles et Modules de Tate des variétés abéliennes sur les corps locaux, Invent. Math., 65 (1982), 379–409. Zbl0502.14015MR643559
20. 20. J.-M. Fontaine and W. Messing, p-adic periods and p-adic étale cohomology, Cont. Math., 67 (1987), 179–207. Zbl0632.14016MR902593
21. 21. R. Hartshorne, Algebraic geometry, Springer-Verlag (1977). Zbl0367.14001MR463157
22. 22. K. Kato, Swan conductors for characters of degree one in the imperfect residue field case, Cont. Math., 83 (1989), 101–131. Zbl0716.12006MR991978
23. 23. K. Kato, On p-adic vanishing cycles (Application of ideas of Fontaine-Messing), Adv. Stud. Pure Math., 10 (1987), 207–251. Zbl0645.14009MR946241
24. 24. N. Katz, 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. Zbl0271.10033MR447119
25. 25. N. Katz, Serre-Tate local moduli, dans : Surface algébriques, éd. J. Giraud, L. Illusie, M. Raynaud, Lect. Notes Math., 868 (1981), 138–202. Zbl0477.14007MR638600
26. 26. P. Monsky, Formal cohomology: III. Fixed point theorems, Ann. Math., 93 (1971), 315–343. Zbl0213.47501MR321931
27. 27. P. Monsky and G. Washnitzer, Formal cohomology: I, Ann. Math., 88 (1968), 181–217; Formal cohomology: II. The cohomology sequence of a pair, Ann. Math., 88 (1968) 218–238. Zbl0162.52601MR248141
28. 28. L. Moret-Bailly, Pinceaux de variétés abéliennes, Astérisque, 129 (1985). Zbl0595.14032MR797982
29. 29. D. Mumford, Geometric invariant theory, Springer-Verlag (1965). Zbl0147.39304MR214602
30. 30. M. Raynaud, Schémas en groupes de type (p,...,p), Bull. Soc. Math. Fr., 102 (1974), 241–280. Zbl0325.14020MR419467
31. 31. D. Wan, Higher rank case of Dwork’s conjecture, J. Am. Math. Soc., 13 (2000), 807–852. Zbl1086.11030
32. 32. D. Wan, Rank one case of Dwork’s conjecture, J. Am. Math. Soc., 13 (2000), 853–908. Zbl1086.11031

1. Benoît Stroh, Compactification de variétés de Siegel aux places de mauvaise réduction
2. Vincent Pilloni, Sur la théorie de Hida pour le groupe ${\mathrm{GSp}}_{2g}$
3. Laurent Fargues, La filtration canonique des points de torsion des groupes $p$-divisibles