Geometric representations of interacting maps.
Geometric stability of the cotangent bundle and the universal cover of a projective manifold
We first prove a strengthening of Miyaoka’s generic semi-positivity theorem: the quotients of the tensor powers of the cotangent bundle of a non-uniruled complex projective manifold have a pseudo-effective (instead of generically nef) determinant. A first consequence is that is of general type if its cotangent bundle contains a subsheaf with ‘big’ determinant. Among other applications, we deduce that if the universal cover of is not covered by compact positive-dimensional analytic subsets,...
Geometric structures on the complement of a projective arrangement
Consider a complex projective space with its Fubini-Study metric. We study certain one parameter deformations of this metric on the complement of an arrangement (= finite union of hyperplanes) whose Levi-Civita connection is of Dunkl type. Interesting examples are obtained from the arrangements defined by finite complex reflection groups. We determine a parameter interval for which the metric is locally of Fubini-Study type, flat, or complex-hyperbolic. We find a finite subset of this interval for...
Geometric study of a family of integrable systems. (Étude géométrique d'une famille de systémes intégrables.)
Geometric theta-lifting for the dual pair
Let be a smooth projective curve over an algebraically closed field of characteristic . Consider the dual pair over with split. Write and for the stacks of -torsors and -torsors on . The theta-kernel on yields theta-lifting functors and between the corresponding derived categories. We describe the relation of these functors with Hecke operators. In two particular cases these functors realize the geometric Langlands functoriality for the above pair (in the non ramified case)....
Geometrical model theory.
Geometrically ruled surfaces as zero loci of ample vector bundles.
Geometrické modelování – od historie k současnosti a budoucnosti
Géométrie algébrique de Poisson et déformations
Géométrie algébrique réelle et composantes connexes
Géométrie analytique rigide d'après Tate, Kiehl...
Géométrie arithmétique
Géométrie asymptotique des courbes algébriques
Géométrie d'Arakelov des surfaces arithmétiques
Géométrie d'Arakelov des variétés toriques et fibrés en droites intégrables
Géométrie des points épais
Géométrie des schémas de Hilbert ponctuels
Géométrie des tissus
Géométrie et analyse sur les arbres
Géométrie et suites récurrentes