The hodge conjecture for cubic fourfolds
The Hodge de Rham theory of relative Malcev completion
The Hodge theory of algebraic maps
The homotopy axiom in semialgebraic cohomology.
The horizontal base locus of multiples of tautological sheaves of projectivised cotangent bundles.
The Horrocks bundles of rank three on P5.
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 indecomposability of H*(G/B, L)
The intrinsic Hodge theory of -adic hyperbolic curves.
The invariant holonomic system on a semisimple Lie algebra.
The irreducible components of moduli spaces of vector bundles on surfaces.
The Irregularities of Hirzebruch's Examples of Surfaces of General Type with c21= 3c2 .
The Lefschetz number of an involution on the space of classes of positive definite quadratic forms.
The Lefshetz Vanishing Cycles on a Projective Nonsingular Plane Curve.
The Local Torelli Theorem. I. Complete Intersection.
The local Torelli-theorem. II : cyclic branched coverings
The modularity of the Barth-Nieto quintic and its relatives.
The Moduli of Super-Null-Correlation Bundles on IP3.
The Moduli spaces of Rank 2 Stable Vector Bundles over Veronesean surfaces.