A logarithmic Dolbeault complex
A class of n-bundles on Gr (k, n).
A comparison of deformations and geometric study of varieties of associative algebras.
A Construction of Surfaces with pg = 1, q = 0 and 2...(K2) ...8. Counter Examples of the Global Torelli Theorem.
A criterion for algebraicity of certain analytic elliptic surfaces.
A descendent relation in genus 2
A duality result for moduli spaces of semistable sheaves supported on projective curves
A family of K3 surfaces and ... (3).
A general embedding theorem in formal geometry
A geometric application of Nori’s connectivity theorem
We study (rational) sweeping out of general hypersurfaces by varieties having small moduli spaces. As a consequence, we show that general -trivial hypersurfaces are not rationally swept out by abelian varieties of dimension at least two. As a corollary, we show that Clemens’ conjecture on the finiteness of rational curves of given degree in a general quintic threefold, and Lang’s conjecture saying that such varieties should be rationally swept-out by abelian varieties, contradict.
A Global Moduli Space of Ample Subvarieties on Compact Kähler Manifolds with Very Strongly Negative Curvature.
À la recherche de petites sommes d'exponentielles
Soit une fraction rationnelle à coefficients entiers, vérifiant des hypothèses assez générales. On prouve l’existence d’une infinité d’entiers , ayant exactement deux facteurs premiers, tels que la somme d’exponentielles soit en , où est une constante ne dépendant que de la géométrie de . On donne aussi des résultats de répartition du type Sato-Tate, pour certaines sommes de Salié, modulo , avec entier comme ci- dessus.
A New Compactification of the Siegel Space and Degeneration of Abelian Varieties. I.
A New Compactification of the Siegel Space and Degeneration of Abelian Varieties. II.
A note on a Brill-Noether locus over a non-hyperelliptic curve of genus 4
We prove that a certain Brill-Noether locus over a non-hyperelliptic curve C of genus 4, is isomorphic to the Donagi-Izadi cubic threefold in the case when the pencils of the two trigonal line bundles of C coincide.
A note on ...-constant families of plane curves.
A note on Enriques' surfaces in characteristic 2
A note on minimal Galois embeddings of abelian surfaces
A period mapping for certain semi-universal deformations
A proof of the stratified Morse inequalities for singular complex algebraic curves using the Witten deformation
The Witten deformation is an analytic method proposed by Witten which, given a Morse function on a smooth compact manifold , allows to prove the Morse inequalities. The aim of this article is to generalise the Witten deformation to stratified Morse functions (in the sense of stratified Morse theory as developed by Goresky and MacPherson) on a singular complex algebraic curve. In a previous article the author developed the Witten deformation for the model of an algebraic curve with cone-like singularities...