The Horrocks-Mumford Bundle and the Ferrand Construction.
The Horrocks-Mumford bundle restricted to planes.
We study the behavior of the Horrocks-Mumford bundle FHM when restricted to a plane P2 ⊂ P4, looking for all possible minimal free resolutions for the restricted bundle. To each of the 6 resolutions (4 stable and 2 unstable) we find, we then associate a subvariety of the Grassmannian G(2,4) of planes in P4. We thus obtain a filtration of the Grassmannian, which we describe in the second part of this work.
The irreducible components of moduli spaces of vector bundles on surfaces.
The Local Torelli Theorem. I. Complete Intersection.
The local Torelli-theorem. II : cyclic branched coverings
The Moduli of Super-Null-Correlation Bundles on IP3.
The Moduli spaces of Rank 2 Stable Vector Bundles over Veronesean surfaces.
The Moduli Spaces of Vector Bundles over an Algebraic Curve.
The Mukai pairing. I: A categorical approach.
The Normal Bundle of a Curve on a Quadric.
The Positvity of the Chern Classes of an Ample Vector Bundle.
The projectivity of the moduli space of stable curves, II: The stacks M...
The projectivity of the moduli space of stable curves, III: The line bundles on M..., and a proof of the projectivity of M... in characteristic 0.
The scheme of morphisms from an elliptic curve to a Grassmannian
The six operations for sheaves on Artin stacks I: Finite coefficients
In this paper we develop a theory of Grothendieck’s six operations of lisse-étale constructible sheaves on Artin stacks locally of finite type over certain excellent schemes of finite Krull dimension. We also give generalizations of the classical base change theorems and Kunneth formula to stacks, and prove new results about cohomological descent for unbounded complexes.
The six operations for sheaves on Artin stacks II: Adic coefficients
The Stable Adjunction Map on Gorenstein Varieties.
The structure of Gauss-like maps
The subbundles of decomposable vector bundles over on elliptic curve.
Let C be an elliptic curve and E, F polystable vector bundles on C such that no two among the indecomposable factors of E + F are isomorphic. Here we give a complete classification of such pairs (E,F) such that E is a subbundle of F.
The Tangent Bundle of a Ruled Surface.