Surface bundles over surfaces of small genus.
Surfaces kählériennes de volume fini et équations de Seiberg-Witten
Soit une surface complexe réglée. Nous introduisons des métriques de volume fini sur dons les singularités sont paramétrisées par une structure parabolique sur le fibré . Nous généralisons alors un résultat de Burns-deBartolomeis et Le Brun, en montrant que l’existence de métriques kählériennes singulières, de volume fini, à courbure scalaire constante négative ou nulle sur est équivalente à une condition de polystabilité parabolique sur ; de plus ces métriques proviennent toutes de quotients...
Surjectivity of the Period Map of K 3 Surfaces of Degree 2.
SUX(r, L) is separably unirational
We show that the moduli space of SUX (r, L) of rank r bundles of fixed determinant L on a smooth projective curve X is separably unirational.
Symmetric Polynomials Constructed From Moduli of Stable Sheaves with odd c1 on ruled surfaces.
Symplectic geometry on moduli spaces of stable pairs
Symplectic structure of the moduli space of sheaves on an abelian or K3 surface.
Symplectic structures on moduli spaces of framed sheaves on surfaces
We provide generalizations of the notions of Atiyah class and Kodaira-Spencer map to the case of framed sheaves. Moreover, we construct closed two-forms on the moduli spaces of framed sheaves on surfaces. As an application, we define a symplectic structure on the moduli spaces of framed sheaves on some birationally ruled surfaces.
Systèmes pluricanoniques sur l’espace des modules des courbes et diviseurs de courbes -gonales
Technique de descente et théorèmes d'existence en géométrie algébriques. II. Le théorème d'existence en théorie formelle des modules
Tensor product theorem for Hitchin pairs – An algebraic approach
We give an algebraic approach to the study of Hitchin pairs and prove the tensor product theorem for Higgs semistable Hitchin pairs over smooth projective curves defined over algebraically closed fields of characteristic zero and characteristic , with satisfying some natural bounds. We also prove the corresponding theorem for polystable Hitchin pairs.
The algebraic Bethe Ansatz and vacuum vectors.
The ampleness of the theta divisor on the compactified jacobian of a proper and integral curve
The Atiyah extension of a Lie algebra deformation.
The automorphism group of
The paper studies fiber type morphisms between moduli spaces of pointed rational curves. Via Kapranov’s description we are able to prove that the only such morphisms are forgetful maps. This allows us to show that the automorphism group of is the permutation group on elements as soon as .
The automorphism group of the moduli space of semi stable vector bundles.
The Behaviour of the Plurigenera of Surfaces Under Algebraic Smooth Deformations.
The Betti numbers of the moduli space of stable sheaves of rank 2 on a ruled surface.
The Betti numbers of the moduli space of stable sheaves of rank2 on P2.
The Chern Classes of the Stable Rank 3 Vector Bundles on IP3.