A Fixed Point Formula for Action of Tori on Algebraic Varieties.
Albanese varieties with modulus and Hodge theory
Let be a proper smooth variety over a field of characteristic and an effective divisor on with multiplicity. We introduce a generalized Albanese variety Alb of of modulus , as higher dimensional analogue of the generalized Jacobian with modulus of Rosenlicht-Serre. Our construction is algebraic. For we give a Hodge theoretic description.
Algebraic tori as Nisnevich sheaves with transfers
We relate -equivalence on tori with Voevodsky’s theory of homotopy invariant Nisnevich sheaves with transfers and effective motivic complexes.
Analytic Subgroups of Group Varieties.
Anneaux de Grothendieck des variétés de drapeaux
Approximation diophantienne dans les groupes algébriques commutatifs. (I): Une version effective du théorème du sous-group algébrique.
Approximations simultanées sur les groupes algébriques commutatifs
Autour d'une conjecture de Serge Lang.