Polarized abelian varieties and the heat equations
Projective normality of abelian varieties with a line bundle of type
Sia una varietà abeliana e un fibrato in rette ampio di tipo su ; sia l'applicazione associata a . In questo lavoro si dimostra il seguente fatto: se per qualsiasi , non è mai normalmente generato (quindi, se è un embedding, non è proiettivamente normale); negli altri casi invece è normalmente generato per generico nello spazio dei moduli delle varietà abeliane polarizzate di tipo .
Prym Varieties and the Schottky Problem.
Prym Varieties of Triple Cyclic Covers.
Real algebraic curves in the moduli space of complex curves
Schottky-Jung Relations and Vectorbundles on Hyperelliptic Curves.
Semi-abelian Schemes and Heights of Cycles in Moduli Spaces of abelian Varieties
Singularités des espaces de modules de Hilbert, en les caractéristiques divisant le discriminant
Singularities of the moduli spaces of certain abelian surfaces
Singularities of theta divisors and the geometry of
We study the codimension two locus in consisting of principally polarized abelian varieties whose theta divisor has a singularity that is not an ordinary double point. We compute the class for every . For , this turns out to be the locus of Jacobians with a vanishing theta-null. For , via the Prym map we show that has two components, both unirational, which we describe completely. We then determine the slope of the effective cone of and show that the component of the Andreotti-Mayer...
Sous-groupes canoniques et cycles évanescents p-adiques pour les variétés abéliennes
Subvarieties of Moduli Spaces.
Sur le problème de Schottky pour les variétés de Prym
Sur l'équation fonctionnelle de la fonction thêta de Riemann
Sur une conjecture de Kottwitz au bord
Nous nous intéressons à la cohomologie d’intersection de la compactification minimale des variétés de Siegel à certaines places de mauvaise réduction. Nous calculons la trace semi-simple du morphisme de Frobenius sur les fibres des cycles proches du complexe d’intersection. Nous obtenons une généralisation commune de résultats de Morel et de Haines et Ngô.
The Fibre of the Prym Map in Genus Three.
The Fundamental Group-Scheme of an Abelian Variety.
The generalized Hodge conjecture for stably nondegenerate abelian varieties
The global structure of moduli spaces of polarized -divisible groups.
The Kodaira dimension of certain moduli spaces of abelian surfaces