On congruences of lines in the projective space (Chapter 6 written in collaboration with M. Pedreira)
On contributions of embedded components to intersection theory, a first approach
On covering and quasi-unsplit families of curves
Given a covering family of effective 1-cycles on a complex projective variety , we find conditions allowing one to construct a geometric quotient , with regular on the whole of , such that every fiber of is an equivalence class for the equivalence relation naturally defined by . Among other results, we show that on a normal and -factorial projective variety with canonical singularities and , every covering and quasi-unsplit family of rational curves generates a geometric extremal...
On covering systems on rings
On coverings of simple abelian varieties
To any finite covering of degree between smooth complex projective manifolds, one associates a vector bundle of rank on whose total space contains . It is known that is ample when is a projective space ([Lazarsfeld 1980]), a Grassmannian ([Manivel 1997]), or a Lagrangian Grassmannian ([Kim Maniel 1999]). We show an analogous result when is a simple abelian variety and does not factor through any nontrivial isogeny . This result is obtained by showing that is -regular in the...
On cycles and orbits of polynomial mappings
On deformation of maximally degenerate stable marked curves and Oda's problem.
On Deformations and the Local Torelli Problem of Cyclic Branched Coverings.
On desingularized Horrocks-Mumford quintics.
On elementary transformations of ruled surfaces.
On equimultiple subschemes of a local scheme over a field of characteristic zero
On Equisingular Deformations of Cone-Like Surface Singularities.
On Eriques Surface as a Fourfold Cover of P2*
On extensions of number fields obtained by specializing branched coverings.
On extremal rays of the higher dimensional varieties.
On Families of Birationally Equivalent Varieties.
On Fiber Products of Rational Elliptic Surfaces with Section.
On galois automorphisms of the fundamental group of the projective line minus three points.
On Galois covers of Hirzebruch surfaces.
On Galois module structure of the cohomology groups of an algebraic variety.