We construct the dagger realization functor for analytic motives over non-archimedean fields of mixed characteristic, as well as the Monsky-Washnitzer realization functor for algebraic motives over a discrete field of positive characteristic. In particular, the motivic language on the classic étale site provides a new direct definition of the overconvergent de Rham cohomology and rigid cohomology and shows that their finite dimensionality follows formally from one of Betti cohomology for smooth projective complex varieties.
The Monsky-Washnitzer and the overconvergent realizations / A. Vezzani. - In: INTERNATIONAL MATHEMATICS RESEARCH NOTICES. - ISSN 1073-7928. - 2018:11(2018 Jun), pp. 3443-3489. [10.1093/imrn/rnw335]
The Monsky-Washnitzer and the overconvergent realizations
A. Vezzani
2018
Abstract
We construct the dagger realization functor for analytic motives over non-archimedean fields of mixed characteristic, as well as the Monsky-Washnitzer realization functor for algebraic motives over a discrete field of positive characteristic. In particular, the motivic language on the classic étale site provides a new direct definition of the overconvergent de Rham cohomology and rigid cohomology and shows that their finite dimensionality follows formally from one of Betti cohomology for smooth projective complex varieties.File | Dimensione | Formato | |
---|---|---|---|
rigidreal_arxiv_2.pdf
accesso aperto
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
444.53 kB
Formato
Adobe PDF
|
444.53 kB | Adobe PDF | Visualizza/Apri |
rnw335.pdf
accesso riservato
Tipologia:
Publisher's version/PDF
Dimensione
461.78 kB
Formato
Adobe PDF
|
461.78 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.