Contraction par Frobenius de G-modules

نویسندگان
چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Frobenius Modules and De Jong’s Theorem

Let k be an algebraically closed field of characteristic p > 0. A theorem of de Jong shows that morphisms of modules over W (k)[[t]] with Frobenius and connection structure descend from the completion of W (k)((t)). A careful reading of de Jong’s proof suggests the possibility that an analogous theorem holds for modules with only a Frobenius structure. We show that this analogue holds in one na...

متن کامل

Finitude De L’extension De Q Engendrée Par Des Traces De Frobenius, En Caractéristique Finie

Un objet sur Fq sera affecté d’un indice 0, et la suppression de cet indice indiquera l’extension du corps de base de Fq à F. Pour un résumé du formalisme des Ql-faisceaux, et de celui des Ql-faisceaux de Weil, je renvoie à [De2, 1.1.1 et 1.1.10]. Soient X̄0 une courbe projective lisse et absolument irréductible sur Fq, S0 un ensemble fini de points fermés de X̄0 et X0 := X̄0 − S0. On notera K0 le...

متن کامل

Frobenius actions on the de Rham cohomology of Drinfeld modules

We study the action of endomorphisms of a Drinfeld A-module φ on its de Rham cohomology HDR(φ,L) and related modules, in the case where φ is defined over a field L of finite Acharacteristic p. Among others, we find that the nilspace H0 of the total Frobenius FrDR on HDR(φ,L) has dimension h = height of φ. We define and study a pairing between the p-torsion pφ of φ and HDR(φ,L), which becomes pe...

متن کامل

Frobenius modules and Hodge asymptotics

We exhibit a direct correspondence between the potential defining the H small quantum module structure on the cohomology of a Calabi-Yau manifold and the asymptotic data of the A-model variation of Hodge structure. This is done in the abstract context of polarized variations of Hodge structure and Frobenius modules.

متن کامل

Lectures on Frobenius splittings and B-modules

Preface These notes are based on a course given at the Tata Institute of Fundamental Research in the beginning of 1990. The aim of the course was to describe the solution by O. Mathieu of some conjectures in the representation theory of semi-simple algebraic groups. These conjectures concern the inner structure of dual Weyl modules and some of their analogues. Recall that if G is a (connected, ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Annales de l’institut Fourier

سال: 2011

ISSN: 0373-0956,1777-5310

DOI: 10.5802/aif.2681