Cohen-Macaulay mod-ules on hypersurface singularities II.
Cohen-Macaulay-Punkte auf lokal geringten Räumen und Anwendungen in der Schnittheorie
Cohomologie de de Rham des variétés de drapeaux
Cohomologie de Galois et cohomologie des variétés algébriques réelles ; applications aux surfaces rationnelles
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 et K-théorie équivariantes des variétés de Bott-Samelson et des variétés de drapeaux
L’objet de cet article est de calculer la cohomologie et la K-théorie équivariantes des variétés de Bott-Samelson (théorèmes 3.3 et 4.3) et d’en déduire des résultats sur les variétés de drapeaux des groupes de Kac-Moody. Dans la section 3, on retrouve la formule de restriction aux points fixes de la base de (théorème 3.9) prouvée par Sara Billey dans [4]. Dans la section 4, on donne l’expression explicite de la restriction aux points fixes de la base de définie par Kostant et Kumar dans...
Cohomology of desingularization of moduli space of vector bundles
Cohomology of for classical complex Lie supergroups and characters of some atypical -modules
We compute the unique nonzero cohomology group of a generic - linearized locally free -module, where is the identity component of a complex classical Lie supergroup and is an arbitrary parabolic subsupergroup. In particular we prove that for this cohomology group is an irreducible -module. As an application we generalize the character formula of typical irreducible -modules to a natural class of atypical modules arising in this way.
Cohomology of line bundles on
Cohomology of local systems on the complement of hyperplanes.
Cohomology of local systems on the complement of hyperplanes (Erratum).
Cohomology of projective varieties with regular SL2 actions.
Cohomology, symmetry and perfection.
We explain the philosophy behind the computations in [BDP] and place them in a wider conceptual setting. We also outline, for toric varieties, the resulting equivalent approach to some key results in that theory.
Cohomology with compact supports for q-complete spaces.
Combinatorial construction of toric residues.
In this paper we investigate the problem of finding an explicit element whose toric residue is equal to one. Such an element is shown to exist if and only if the associated polytopes are essential. We reduce the problem to finding a collection of partitions of the lattice points in the polytopes satisfying a certain combinatorial property. We use this description to solve the problem when and for any when the polytopes of the divisors share a complete flag of faces. The latter generalizes earlier...
Combinatorial integers and Schubert calculus in the integral cohomology ring of infinite smooth flag manifolds.
Combinatorial Models for the Finite-Dimensional Grassmannians.
Combinatoric of syzygies for semigroup algebras.
We describe how the graded minimal resolution of certain semigroup algebras is related to the combinatorics of some simplicial complexes. We obtain characterizations of the Cohen-Macaulay and Gorenstein conditions. The Cohen-Macaulay type is computed from combinatorics. As an application, we compute explicitly the graded minimal resolution of monomial both affine and simplicial projective surfaces.
Combinatories and intersections of Schubert varieties.