2-cocycles and Azumaya algebras under birational transformations of algebraic schemes
A converse to the Andreotti-Grauert theorem
The goal of this paper is to show that there are strong relations between certain Monge-Ampère integrals appearing in holomorphic Morse inequalities, and asymptotic cohomology estimates for tensor powers of holomorphic line bundles. Especially, we prove that these relations hold without restriction for projective surfaces, and in the special case of the volume, i.e. of asymptotic -cohomology, for all projective manifolds. These results can be seen as a partial converse to the Andreotti-Grauert...
A generalization of class formation by using hypercohomology.
A note on the base change map for cohomology
A note on the cycle map.
A regulator map for singular varieties.
A singular Riemann-Roch for Hirzebruch characteristics
Algebraic and analytic cohomology of quasiprojective varieties.
Algebraic cycles, Chow varieties, and Lawson homology
Algebraic cycles on a general complete intersection of high multi-degree of a smooth projective variety
Algebraic de Rham Cohomology.
Arrondissement des variétés à coins - Appendice à "Corners and Arithmetic Groups"
Bases of homology spaces of the Hilbert scheme of points in an algebraic surface.
We find two basis of the spaces of rational homology of the Hilbert scheme of points in an algebraic surface, by exhibiting two candidates having as cardinalities the known Betti numbers of this scheme and showing that both intersect in a matrix of nonzero determinant.
Catégories tannakiennes
Cohomolgie des variétés de modules de hauteur nulle.
Cohomologie des courbes elliptiques
Cohomologie équivariante des points semi-stables.
Cohomology of Algebras Relative to a Variety.
Cohomology with Compact Supports for Coherent Sheaves on an Algebraic Variety.
Corners and Arithmetic Groups