Existence of Rank 3 Vector Bundles with Given Chern Classes on Homogeneous Rational 3-Folds.
Explicit cogenerators for the homotopy category of projective modules over a ring
Let be a ring. In two previous articles [12, 14] we studied the homotopy category of projective -modules. We produced a set of generators for this category, proved that the category is -compactly generated for any ring , and showed that it need not always be compactly generated, but is for sufficiently nice . We furthermore analyzed the inclusion and the orthogonal subcategory . And we even showed that the inclusion has a right adjoint; this forces some natural map to be an equivalence...
Explicit models for perserse sheaves.
We consider categories of generalized perverse sheaves, with relaxed constructibility conditions, by means of the process of gluing t-structures and we exhibit explicit abelian categories defined in terms of standard sheaves categories which are equivalent to the former ones. In particular , we are able to realize perverse sheaves categories as non full abelian subcategories of the usual bounded complexes of sheaves categories. Our methods use induction on perversities. In this paper, we restrict...
Exponential sums on (Gm)n.
Exposants de la monodromie -adique et structure de Frobenius pour des équations différentielles
Dans cet article nous présentons la théorie des équations différentielles -adiques et ses applications concernant le théorème de finitude de la cohomologie -adique d’une variété affine et le théorème de la monodromie -adique des représentations galoisiennes locales.
Extendability of differential forms on non-isolated singularities.
Extending extremal contractions from an ample section.
Extension of mixed Hodge modules
Extension of the concept of n-function to categories
Extensions du groupe additif
Extensions of Abelian Varieties Defined Over a Finite Field.
Extensions of homogeneous coordinate rings to -algebras.
Extensions of vector bundles and rationality of certain moduli spaces of stable bundles.
Extensions with restricted ramification and duality for arithmetic schemes