Finiteness of crystalline cohomology of higher level
[Finitude de la cohomologie cristalline de niveau fini]
Miyatani, Kazuaki1
1 National Center for Theoretical Sciences, Mathematics Division (Taipei Office), National Taiwan University, Taipei 10617 (Taiwan)
Annales de l'Institut Fourier, Tome 65 (2015) no. 3, pp. 975-1004.

Nous prouvons la finitude de la cohomologie cristalline de niveau fini. Un ingrédient important est un “complexe de de Rham supérieur” qui satisfait un analogue du lemme de Poincaré.

We prove the finiteness of crystalline cohomology of higher level. An important ingredient is a “higher de Rham complex” that satisfies a kind of Poincaré lemma.

DOI : 10.5802/aif.2949
Classification : 14F30
Keywords: crystalline cohomology of higher level, Poincaré lemma
Mot clés : cohomologie cristalline de niveau fini, lemme de Poincaré
Miyatani, Kazuaki 1

1 National Center for Theoretical Sciences, Mathematics Division (Taipei Office), National Taiwan University, Taipei 10617 (Taiwan) 
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Miyatani, Kazuaki. Finiteness of crystalline cohomology of higher level. Annales de l'Institut Fourier, Tome 65 (2015) no. 3, pp. 975-1004. doi : 10.5802/aif.2949. http://www.numdam.org/articles/10.5802/aif.2949/

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