Cohen-Macaulayness of modules of covariants.
Cohomologial dimension of Laumon 1-motives up to isogenies
We prove that the category of Laumon 1-motives up to isogenies over a field of characteristic zero is of cohomological dimension . As a consequence this implies the same result for the category of formal Hodge structures of level (over ).
Cohomologie des fibrés en droites sur les compactifications des groupes réductifs
Cohomologie des fibrés en droites sur les variétés magnifiques de rang minimal
Le théorème de Borel-Weil-Bott décrit la cohomologie des fibrés en droites sur les variétés de drapeaux. On généralise ici ce théorème à une plus grande classe de variétés projectives : les variétés magnifiques de rang minimal.
Cohomologie des groupes et corps d'invariants multiplicatifs.
Cohomologie équivariante des points semi-stables.
Cohomology of infinitesimal algebraic groups.
Cohomology of Infinitesimal and Discrete Groups.
Cohomology of line bundles on
Cohomology of line bundles on
Cohomology of projective varieties with regular SL2 actions.
Cohomology of the G-Hilbert Scheme for 1/r(1,1,R−1)
2000 Mathematics Subject Classification: Primary 14E15; Secondary 14C05,14L30.In this note we attempt to generalize a few statements drawn from the 3-dimensional McKay correspondence to the case of a cyclic group not in SL(3, C). We construct a smooth, discrepant resolution of the cyclic, terminal quotient singularity of type 1/r(1,1,r−1), which turns out to be isomorphic to Nakamura’s G-Hilbert scheme. Moreover we explicitly describe tautological bundles and use them to construct a dual basis to...
Combinatories and intersections of Schubert varieties.
Common subbundles and intersections of divisors.
Commutative Algebraic Groups and Intersections of Quadrics.
Commutative algebraic groups and p-adic linear forms
Let G be a commutative algebraic group defined over a number field K that is disjoint over K from and satisfies the condition of semistability. Consider a linear form l on the Lie algebra of G with algebraic coefficients and an algebraic point u in a p-adic neighbourhood of the origin with the condition that l does not vanish at u. We give a lower bound for the p-adic absolute value of l(u) which depends up to an effectively computable constant only on the height of the linear form, the height...
Commutative and noncommutative invariant theory
Compactification des variétés de Deligne-Lusztig
Nous construisons explicitement la normalisation de la compactification de Bott-Samelson-Demazure-Hansen des variétés de Deligne-Lusztig dans leur revêtement et retrouvons ainsi un résultat de Deligne-Lusztig sur la monodromie locale autour des diviseurs de la compactification.
Companion forms and Kodaira-Spencer theory.
Comparison between the fundamental group scheme of a relative scheme and that of its generic fiber
We show that the natural morphism between the fundamental group scheme of the generic fiber of a scheme over a connected Dedekind scheme and the generic fiber of the fundamental group scheme of is always faithfully flat. As an application we give a necessary and sufficient condition for a finite, dominated pointed -torsor over to be extended over . We finally provide examples where is an isomorphism.