Isocrystals with additional structure. II

RE Kottwitz - Compositio Mathematica, 1997 - cambridge.org
Let F be a p-adic field, let L be the completion of a maximal unramified extension ofF, and let
u be the Frobenius automorphism of Lover F. For any connected reductive group Gover F …

[PDF][PDF] On the classification and specialization of -isocrystals with additional structure

M Rapoport, M Richartz - Compositio Mathematica, 1996 - numdam.org
On the classification and specialization of F-isocrystals with additional structure Page 1
COMPOSITIO MATHEMATICA M. RAPOPORT M. RICHARTZ On the classification and …

[PDF][PDF] The points on a Shimura variety modulo a prime of good reduction

JS Milne - The zeta functions of Picard modular surfaces, 1992 - jmilne.org
We explain, in the case of good reduction, the conjecture of Langlands and Rapoport
describing the structure of the points on the reduction of a Shimura variety (Langlands and …

Abelianization of the second nonabelian Galois cohomology

MV Borovoi - 1993 - projecteuclid.org
Introduction. Let kbe a field of characteristic 0, k an algebraic closure of k, and G an
algebraic group over k. Let L (G, x) be a k-kernel (other terms are k-band, k-lien); see [Spl …

Hardy-Littlewood varieties and semisimple groups

M Borovoi, Z Rudnick - Inventiones mathematicae, 1995 - Springer
We are interested in counting integer and rational points in affine algebraic varieties, also
under congruence conditions. We introduce the notions of a strongly Hardy-Littlewood …

Propriétés du groupe tannakien des structures de Hodge -adiques et torseur entre cohomologies cristalline et étale

JP Wintenberger - Annales de l'institut Fourier, 1997 - numdam.org
Soit p un nombre premier et soit K un corps local de caractéristique 0 et à corps résiduel k
algébriquement clos de caractéristique p. J.-M. Fontaine a défini la catégorie des (<^, 7V) …

On Galois cohomology of semisimple groups over local and global fields of positive characteristic

NQ Thăńg - Mathematische Zeitschrift, 2008 - Springer
We prove some analogs of results due to Kneser in the case of characteristic 0 about the
surjectivity of coboundary map for Galois cohomology of semisimple groups over local and …

[图书][B] On weak approximation in homogeneous spaces of simply connected algebraic groups

MV Borovoi - 1989 - archive.mpim-bonn.mpg.de
510' 600 600'3: t600' 460 600 600 600' 27; 600:· 470~ 600" 600 34.800' 420 560, 600 600'
27.900,~. 460· 600. 600 36.000 380. 520 600 600 28.800, 430 570 600 37.200 340 480' …

On corestriction principle in non abelian Galois cohomology over local and global fields

NQ Thǎńg - Journal of Mathematics of Kyoto University, 2002 - projecteuclid.org
In this paper we prove that over local or global fields of characteristic 0, the Corestriction
Principle holds for kernel and image of all maps which are connecting maps in group …

Weak corestriction principle for non-abelian Galois cohomology

NQ Thăńg - 2003 - projecteuclid.org
We introduce the notion of (Weak) Corestriction Principle and prove some relations between
the validity of this principle for various connecting maps in non-abelian Galois cohomology …