Crystalline realizations of 1-motives

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We consider the crystalline realization of Deligne's 1-motives in positive characteristics and prove a comparison theorem with the De Rham realization of liftings to zero characteristic. We then show that one dimensional crystalline cohomology of an algebraic variety, defined by universal cohomological descent via de Jong's alterations, coincide with the crystalline realization of the (cohomological) Picard 1-motive, over perfect fields.
54 pages, exposition improved, references & appendix added

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Algebraic Geometry, Number Theory, 14C25, 14C30, 11Gxx

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http://salesiana.dossiersoluciones.com/handle/123456789/96113

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0302161
 http://arxiv.org/abs/math/0302161
 Mathematische Annalen Vol. 331, N. 1, (2005) 111-172
 doi:10.1007/s00208-004-0576-4

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arXiv