SÉMINAIRE DE THÉORIE DES NOMBRES 2003-2004

Le Vendredi à 15 heures 30 en Salle de Conférence

Organisateur : Laurent Herr



Mikhail Bondarko
St. Petersbourg
Finite flat group schemes over complete discrete valuation rings.
RÉSUMÉ

The talk is dedicated to finite commutative group schemes and their applications to the study of good reduction of Abelian varieties. The Cartier-Dieudonne modules for finite commutative group schemes (defined by Oort) are used. Several properties of Cartier-Oort modules are proved. In particular, the complete classification of finite commutative group schemes in terms of Cartier-Oort modules is given; the computation of $Ext1$ for group schemes is done. The main applications are the properties of the generic fiber functor and a complete answer to the question of N. Katz (given by B. Conrad in the case $e\leq p-1$). The possibilities of a further development of the theory are discussed.
Retour à la page du séminaire de théorie des nombres






WWW page design par Thomas Papanikolaou & Christine Bachoc