Polarized abelian varieties and the heat equations
Poncelet 5-gons and abelian surfaces.
Preuve des conjectures de Tate et de Shafarevitch
Primitive Line Bundles on Abelian Threefolds.
Principal polarizations of Prym-Tjurin varieties
Problème de Lehmer pour les hypersurfaces de variétés abéliennes de type C.M.
Produkte Abelscher Varietäten und Moduln über Ordnungen.
Projective normality and equations of Kummer varieties.
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 .
Propriétés et applications de certaines fonctions analogues à la fonction , seconde partie
Propriétés et applications de certaines fonctions analogues à la fonction
Prym Subvarieties of Jacobians via Schur correspondences between curves
Let denote a Galois cover of smooth projective curves with Galois group a Weyl group of a simple Lie group . For a dominant weight , we consider the intermediate curve . One defines a Prym variety and we denote by the restriction of the principal polarization of upon . For two dominant weights and , we construct a correspondence on and calculate the pull-back of by in terms of .
Prym varietes of bi-elliptic curves.
Prym Varieties and the Geodesic Flow on SO(n).
Prym Varieties and the Schottky Problem.
Prym varieties of pairs of coverings.
Prym Varieties of Triple Cyclic Covers.
Prym-Tjurin varieties and the Hitchin map.
Pryum varieties and the Verlinde formula.
Pseudo-abelian varieties
Chevalley’s theorem states that every smooth connected algebraic group over a perfect field is an extension of an abelian variety by a smooth connected affine group. That fails when the base field is not perfect. We define a pseudo-abelian variety over an arbitrary field to be a smooth connected -group in which every smooth connected affine normal -subgroup is trivial. This gives a new point of view on the classification of algebraic groups: every smooth connected group over a field is an extension...