À propos de la construction de l'espace de modules des faisceaux semi-stables sur le plan projectif
À propos de l'existence de fibrés stables sur les surfaces.
A regulator map for singular varieties.
A remark on the Chern class of a tensor product.
A remark on the Hodge type of projective varieties of low degree.
A remark on the rational cohomology of .
A Riemann-Roch theorem for flat bundles, with values in the algebraic Chern-Simons theory.
A rigidity property of class VIIo surface fundamental groups.
A Second Lefschetz Theorem for General Manifold Sections in Complex Projective Space.
A Sharp Bound for the Number of Points where a Rank 3 Stable Reflexive Sheaf is not Free.
A short proof of finite monodromy for analytically irreducible plane curves
A Short Proof of the Rydakov-Safarevic Theorem.
A singular Riemann-Roch for Hirzebruch characteristics
A spectral sequence for de Rham cohomology
A splitting criterion for rank 2 vector bundles on hypersurfaces in .
A support theorem for Hilbert schemes of planar curves
Consider a family of integral complex locally planar curves whose relative Hilbert scheme of points is smooth. The decomposition theorem of Beilinson, Bernstein, and Deligne asserts that the pushforward of the constant sheaf on the relative Hilbert scheme splits as a direct sum of shifted semisimple perverse sheaves. We will show that no summand is supported in positive codimension. It follows that the perverse filtration on the cohomology of the compactified Jacobian of an integral plane curve...
A theorem on the adjoint system for vector bundles.
A trace formula for F-crystals.
A vanishing theorem for Dolbeault cohomology of homogeneous vector bundles.
A Vanishing Theorem for Group Compactifications.