Weights in rigid cohomology applications to unipotent F-isocrystals
Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 31 (1998) no. 5, pp. 683-715. 
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     author = {Chiarellotto, Bruno},
     title = {Weights in rigid cohomology applications to unipotent $F$-isocrystals},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     pages = {683--715},
     publisher = {Elsevier},
     volume = {Ser. 4, 31},
     number = {5},
     year = {1998},
     doi = {10.1016/s0012-9593(98)80004-9},
     mrnumber = {99k:14032},
     zbl = {0933.14008},
     language = {en},
     url = {http://www.numdam.org/articles/10.1016/s0012-9593(98)80004-9/}
}
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Chiarellotto, Bruno. Weights in rigid cohomology applications to unipotent $F$-isocrystals. Annales scientifiques de l'École Normale Supérieure, Série 4, Tome 31 (1998) no. 5, pp. 683-715. doi : 10.1016/s0012-9593(98)80004-9. http://www.numdam.org/articles/10.1016/s0012-9593(98)80004-9/

[BER1] P. Berthelot, Finitude et pureté en cohomologie rigide. Inv. Math. 128, 1997, pp. 329-377. | MR | Zbl

[BER2] P. Berthelot, Cohomologie rigide et cohomologie rigide à support propre. Prepubl. 96-03. I.R.M.A.R., Rennes 1996.

[B-O] P. Berthelot and A. Ogus, F-isocrystals and the de Rham cohomology. Inv. Math. 72, 1983, pp. 159-199. | MR | Zbl

[BGR] S. Bosch, U., Guntzer and R. Remmert, Non archimedean analysis. Grundlehren der Math. Wissenshaften 261. Springer-Verlag 1984. | MR | Zbl

[BR-Z] J. L. Brylinski and S. Zucker, An overview of recent advances in Hodge theory. In Encyclopaedia of Math. Sciences vol.69. Several Complex Variables VI (Barth W., Narasimhan R. Eds.) Springer-Verlag 1990, pp. 39-142. | MR | Zbl

[C] K.-T. Chen, Iterated path integral. Bull.AMS 83, 1977, pp. 831-879. | MR | Zbl

[CH-M] G. Christol and Z. Mebkhout, Sur le théorème d'indice des équations différentielles p-adiques III. Preprint 1994.

[CR] R. Crew, F-isocrystals and their monodromy groups. Ann. Scient. Éc. Norm. Sup. Ser. IV, tome 25, 1992, pp. 429-464. | Numdam | MR | Zbl

[DE1] P. Deligne, Théorie de Hodge I. Actes, Congr. Intern. Math. Nice 1970, pp. 425-430. II, Publ. Math. I.H.E.S. 40, 1971, pp. 5-58. III, Publ. Math. I.H.E.S. 44, 1974, pp. 5-77. | Numdam | Zbl

[DE2] P. Deligne, La conjecture de Weil I. Publ. Math. I.H.E.S. 43, 1974, pp. 273-308. II, Publ. Math. I.H.E.S. 52, 1980, pp. 137-252. | Numdam | MR | Zbl

[DE3] P. Deligne, Le groupe fondamental de la droite projective moins trois points. In Ihara, Y., Ribet, K., Serre, J.P. (eds.) : Galois groups over Q, Math. M.S.R.I. Publ. 16, Springer-Verlag 1989, pp. 79-297. | MR | Zbl

[DM] P. Deligne, and J. S. Milne, Tannakian categories. In Hodge cycles, Motives and Shimura varieties (Deligne, P., Milne, J.S., Ogus, A., Shih, K.Y. Eds.) L.N.M. 900, Springer-Verlag 1982, pp. 101-228. | MR | Zbl

[D-G] M. Demazure and P. Gabriel, Groupes algébriques. Tome I. North-Holland 1970. | Zbl

[E] R. Elkik, Solutions d'équations à coefficients dans un anneau hensélien. Ann. Scient. Ec. Norm. Sup. 6, 1973, pp. 553-604. | Numdam | MR | Zbl

[FA] G. Faltings, F-isocrystals on open varieties. Results and conjectures. In Cartier, P. et al. (eds.) The Grothendieck Festschrift, vol. II. Birkhauser 1990, pp. 219-248. | MR | Zbl

[FRE] J. Fresnel, Géometrie analytique rigide. Université de Bordeaux I. Math. Pures 1983/1984.

[H-Z1] R. Hain and S. Zucker, Unipotent variations of mixed Hodge structure. Inv. Math. 88, 1987, pp. 83-124. | MR | Zbl

[H-Z2] R. Hain and S. Zucker, A guide to unipotent variations of mixed Hodge structure. In Hodge Theory Proceedings, Sant Cugat 1985. LNM vol. 1246, Springer, 1987, pp. 92-106. | MR | Zbl

[K-M] N. M. Katz and W. Messing, Some consequences of the Riemann hypothesis for varieties over finite field. Inv. Math. 23, 1974, pp. 73-77. | MR | Zbl

[LS-C] B. Le Stum and B. Chiarellotto, F-Isocristaux unipotents. Prepubl. 96-19, I.R.M.A.R., Rennes 1996. To appear in Comp. Math. | Zbl

[LS-C1] B. Le Stum and B. Chiarellotto, Pentes en cohomologie rigide et F-isocristaux unipotents. Preprint, 1998.

[SC] W. Schmid, Variation of Hodge structure : the singularities of the period mapping. Inv. Math. 22, 1973, pp. 211-319. | MR | Zbl

[S] N. Saavedra, Catégories tannakiennes. L.N.M. 265, Springer-Verlag 1972. | MR

[SGA1] A. Grothendieck et al., Revêtements étales et groupe fondamental. L.N.M. 224. Springer-Verlag 1971. | MR | Zbl

[VdP] M. Van Der Put, The cohomology of Monsky-Washnitzer. In Introduction aux cohomologies p-adiques. Memoires de la Société Math. de France. N.23, 1986, pp. 33-60. | Numdam | MR | Zbl

[W] J. Wildeshaus, Realizations of polylogarithms. L.N.M. 1650. Springer-Verlag 1997. | MR | Zbl

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