Stable pairs, linear systems and the Verlinde formula.
Subextremal curves.
Sur la première classe de Stiefel-Whitney de l’espace des applications stables réelles vers l’espace projectif
L’espace de module des applications stables vers l’espace projectif possède naturellement une structure réelle dont la partie réelle est une variété projective normale. Cette dernière est un espace de module pour les courbes spatiales rationnelles réelles avec des points marqués réels. Puisque le lieu singulier est de codimension au moins deux, une première classe de Stiefel-Whitney est bien définie. Dans cet article nous déterminons un représentant pour la première classe de Stiefel-Whitney dans...
Sur l'anneau canonique de certaines variétés de dimension 3.
The characteristic polynomial of a monodromy transformation attached to a family of curves.
The cohomology ring of polygon spaces
We compute the integer cohomology rings of the “polygon spaces”introduced in [F. Kirwan, Cohomology rings of moduli spaces of vector bundles over Riemann surfaces, J. Amer. Math. Soc., 5 (1992), 853-906] and [M. Kapovich & J. Millson, the symplectic geometry of polygons in Euclidean space, J. of Diff. Geometry, 44 (1996), 479-513]. This is done by embedding them in certain toric varieties; the restriction map on cohomology is surjective and we calculate its kernel using ideas from the theory...
The Formal Hodge Filtration.
The Hodge Conjecture for a Certain Class of Fourfolds.
The hodge conjecture for cubic fourfolds
The homotopy axiom in semialgebraic cohomology.
The indecomposability of H*(G/B, L)
The local Torelli-theorem. II : cyclic branched coverings
The Monodromy of a Degenerating Family of Curves.
The Néron-Severi group and the mixed Hodge structure on H2.
Théorèmes de Lefschetz pour les lieux de dégénérescence
Topology of Affine Varieties Dominated by an Affine Space.
Topology of real algebraic T-surfaces.
The paper is devoted to algebraic surfaces which can be obtained using a simple combinatorial procedure called the T-construction. The class of T-surfaces is sufficiently rich: for example, we construct T-surfaces of an arbitrary degree in RP³ which are M-surfaces. We also present a construction of T-surfaces in RP³ with dim H1 (RX; Z/2) > h1, 1(CX), where RX and CX are the real and the complex point sets of the surface.
Twisted action of the symmetric group on the cohomology of a flag manifold
Classes dual to Schubert cycles constitute a basis on the cohomology ring of the flag manifold F, self-adjoint up to indexation with respect to the intersection form. Here, we study the bilinear form (X,Y) :=〈X·Y, c(F)〉 where X,Y are cocycles, c(F) is the total Chern class of F and〈,〉 is the intersection form. This form is related to a twisted action of the symmetric group of the cohomology ring, and to the degenerate affine Hecke algebra. We give a distinguished basis for this form, which is a...
Una proprietà di
Let be an 5 dimensional closed subscheme of and the largest integer such that is finite dimensional for all on . If we introduce the same integer in the complex case, i.e. when runs through the set of all locally free analytic sheaves on , we show that if .
Une relation entre la filtration par le poids de Deligne et la filtration de Zeeman