The Fundamental Group of the Complement of a Union of Complex Hyperplanes.
The fundamental group of the complement of a union of complex hyperplanes: correction.
The Fundamental Group of the Complement of an Algebraic Curve.
The fundamental groupoid scheme and applications
We define a linear structure on Grothendieck’s arithmetic fundamental group of a scheme defined over a field of characteristic 0. It allows us to link the existence of sections of the Galois group to with the existence of a neutral fiber functor on the category which linearizes it. We apply the construction to affine curves and neutral fiber functors coming from a tangent vector at a rational point at infinity, in order to follow this rational point in the universal covering of the affine...
The Fundamental Group-Scheme of an Abelian Variety.
The Galois structure of S-units
The Galois-module structure of the space of holomorphic differentials of a curve.
The Grothendieck group of G-equivariant modules over coordinate rings of G-orbits
The hard Lefschetz theorem and the topology of semismall maps
The Hilbert Modular Surface for the Ideal (...5) and the Horrocks-Mumford Bundle.
The Hilbert schemes of degree three curves
The Hodge Conjecture for a Certain Class of Fourfolds.
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.