Change of polarization and Hodge numbers of moduli spaces of torsion free sheaves on surfaces.
Characterization of abelian varieties
Chen–Ruan Cohomology of and
In this work we compute the Chen–Ruan cohomology of the moduli spaces of smooth and stable -pointed curves of genus . In the first part of the paper we study and describe stack theoretically the twisted sectors of and . In the second part, we study the orbifold intersection theory of . We suggest a definition for an orbifold tautological ring in genus , which is a subring of both the Chen–Ruan cohomology and of the stringy Chow ring.
Chern Classes of Rank 3 Stable Reflexive Sheaves.
Chow-Künneth decomposition for some moduli spaces.
Classification of Isolated Hypersurface Singularities by Their Moduli Algebras.
Classification of non-rigid families of K3 surfaces and a finiteness theorem of Arakelov type.
Classification of Vector Bundles of Rank 2 on Hyperelliptic Curves
Coarse moduli space of ordinary multiple points in the plane.
Codimension-two Subvarieties of IPn with the Cohomology of a Complete Intersection.
Cohen-Macaulay module type
Cohomolgie des variétés de modules de hauteur nulle.
Cohomologically insignificant degenerations of algebraic varieties
Cohomology of desingularization of moduli space of vector bundles
Compactification de l’espace des modules des variétés abéliennes principalement polarisées
Les variétés abéliennes principalement polarisées admettent un espace des modules grossier qu’on sait compactifier de plusieurs façons (compactification de Satake, compactifications toroïdales). Cependant, le problème s’est posé de construire une compactification “modulaire”en termes d’objets géométriques qui permettent de décrire les points du bord. On souhaite aussi compactifier l’application de Torelli qui à chaque courbe algébrique, projective et lisse, associe sa jacobienne. L’exposé présente...
Compactification of the space of vector bundles on a singular curve.
Compactifications de l'espace de modules de Hilbert-Blumenthal
Compactifications of moduli spaces in real algebraic geometry.
Compactifications of the period space of Enriques surfaces.
Compactifications of the period space of Enriques surfaces. II.