Astérisque N° 293/2004
The Riemann-Hilbert correspondence for unit F-crystals
Par : , Formats :
- Paiement en ligne :
- Livraison à domicile ou en point Mondial Relay indisponible
- Retrait Click and Collect en magasin gratuit
- Réservation en ligne avec paiement en magasin :
- Indisponible pour réserver et payer en magasin
- Nombre de pages257
- PrésentationBroché
- FormatGrand Format
- Poids0.53 kg
- Dimensions17,5 cm × 24,0 cm × 1,5 cm
- ISBN2-85629-154-6
- EAN9782856291542
- Date de parution01/06/2004
- ÉditeurSociété Mathématique de France
Résumé
Let Fq denote the finite field of order q (a power of a prime p), let X be a smooth scheme over a field k containing Fq and let A be a finite Fq-algebra. We study the relationship between constructible A-sheaves on the etale site of X, and a certain class of quasi-coherent OxOFq A-modules equipped with a "unit" Frobenius structure. We show that the two corresponding derived categories are anti-equivalent as triangulated categories, and that this anti-equivalence is compatible with direct and inverse images, tensor products, and certain other operations.
We also obtain analogous results relating complexes of constructible Z/pnZ-sheaves on smooth Wn(k)-schemes, and complexes of Berthelot's arithmetic D-modules, equipped with a unit Frobenius.
We also obtain analogous results relating complexes of constructible Z/pnZ-sheaves on smooth Wn(k)-schemes, and complexes of Berthelot's arithmetic D-modules, equipped with a unit Frobenius.
Let Fq denote the finite field of order q (a power of a prime p), let X be a smooth scheme over a field k containing Fq and let A be a finite Fq-algebra. We study the relationship between constructible A-sheaves on the etale site of X, and a certain class of quasi-coherent OxOFq A-modules equipped with a "unit" Frobenius structure. We show that the two corresponding derived categories are anti-equivalent as triangulated categories, and that this anti-equivalence is compatible with direct and inverse images, tensor products, and certain other operations.
We also obtain analogous results relating complexes of constructible Z/pnZ-sheaves on smooth Wn(k)-schemes, and complexes of Berthelot's arithmetic D-modules, equipped with a unit Frobenius.
We also obtain analogous results relating complexes of constructible Z/pnZ-sheaves on smooth Wn(k)-schemes, and complexes of Berthelot's arithmetic D-modules, equipped with a unit Frobenius.