L' anneau de Chow des triangles du plan
La méthode d'Horace pour l'interpolation à plusieurs variables.
Lagrangian fibrations on generalized Kummer varieties
We investigate the existence of Lagrangian fibrations on the generalized Kummer varieties of Beauville. For a principally polarized abelian surface of Picard number one we find the following: The Kummer variety is birationally equivalent to another irreducible symplectic variety admitting a Lagrangian fibration, if and only if is a perfect square. And this is the case if and only if carries a divisor with vanishing Beauville-Bogomolov square.
Lagrangian fibrations on hyperkähler manifolds – On a question of Beauville
Let be a compact hyperkähler manifold containing a complex torus as a Lagrangian subvariety. Beauville posed the question whether admits a Lagrangian fibration with fibre . We show that this is indeed the case if is not projective. If is projective we find an almost holomorphic Lagrangian fibration with fibre under additional assumptions on the pair , which can be formulated in topological or deformation-theoretic terms. Moreover, we show that for any such almost holomorphic Lagrangian...
L'arithmétique du groupe de Chow des zéro-cycles
Le problème de Brill-Noether pour les idéaux de
Le schéma de Hilbert des courbes gauches localement Cohen-Macaulay n'est (presque) jamais réduit