On the projective normality of complete linear series on an algebraic curve.
On the Ramification of Branched Coverings of IPn.
On the reducibility of moduli spaces of stable 2-bundles over an elliptic surface.
On the relative adjunction mapping.
On the representations of the fundamental group
On the semi-simplicity of Galois actions
On the S-fundamental group scheme
We introduce a new fundamental group scheme for varieties defined over an algebraically closed (or just perfect) field of positive characteristic and we use it to study generalization of C. Simpson’s results to positive characteristic. We also study the properties of this group and we prove Lefschetz type theorems.
On the Shafarevich and Tate conjectures for hyperkähler varieties.
On the Spannedness and Very Ampleness of Certain Line Bundles on the Blow-ups of IP2C and Fr .
On the spannedness of adjunction of vector bundles.
On the spectrum of a stable rank 3 reflexive sheaf on ...
On the stability of the restricted bundle of space curves contained in a quartic surface.
On the strange duality conjecture for abelian surfaces
We study Le Potier's strange duality conjecture for moduli spaces of sheaves over generic abelian surfaces. We prove the isomorphism for abelian surfaces which are products of elliptic curves, when the moduli spaces consist of sheaves of equal ranks and ber degree 1. The birational type of the moduli space of sheaves is also investigated. Generalizations to arbitrary product elliptic surfaces are given.
On the Transitvity of regular differential Forms.
On the trivialization of line bundles over schemes
On the Uniqueness of the Horrocks-Mumford Bundle.
On the Variety of Smooth Rational Space Curves with Given Degree and Normal Bundle.
On the weight filtration of the homology of algebraic varieties : the generalized Leray cycles
Let be a normal crossing divisor in the smooth complex projective algebraic variety and let be a tubular neighbourhood of in . Using geometrical properties of different intersections of the irreducible components of , and of the embedding , we provide the “normal forms” of a set of geometrical cycles which generate , where is one of the following pairs , , , and . The construction is compatible with the weights in of Deligne’s mixed Hodge structure. The main technical part...
On the zeta function of monodromy of a polynomial map
On three types of simplicial objects