Residues and duality
Ample subvarieties of algebraic varieties
Stable Vector Bundles of Rank 2 on IP3.
Stable Reflexive Sheaves. III.
Stable Reflexive Sheaves.
Cohomology with Compact Supports for Coherent Sheaves on an Algebraic Variety.
Cohomology of non-complete algebraic varieties
Genre des courbes algébriques dans l'espace projectif
On the de Rham cohomology of algebraic varieties
Curves with high self-intersection on algebraic surfaces
Connectedness of the Hilbert scheme
Ample vector bundles
Algebraic de Rham Cohomology.
Stable Reflexive Sheaves. II.
Geometry of arithmetically Gorenstein curves in P.
We characterize the postulation character of arithmetically Gorenstein curves in P. We give conditions under which the curve can be realized in the form mH - K on some ACM surface. Finally, we complement a theorem by Watanabe by showing that any general arithmetically Gorenstein curve in P with arbitrary fixed postulation character can be obtained from a line by a series of ascending complete-intersection biliaisons.
Some examples of Gorenstein liaison in codimension three.
Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison of varieties of codimension 2 in projective space. In this paper we study points in P3 and curves in P4 in an attempt to see how far typical codimension 2 results will extend. While the results are satisfactory for small degree, we find in each case examples where we cannot decide the outcome. This examples are candidates for counterexamples to the hoped-for extensions of codimension...
On Rao's theorems and the Lazarsfeld-Rao property
Stable rank 2 vector bundles on P3 with c1 = - 1, c2 = 2.
Cohomology of a general instanton bundle
Courbes rationnelles et droites en position générale
On montre que la réunion générale d’une courbe rationnelle avec des droites dans est de rang maximum.
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