Intersection theory on algebraic stacks and on their moduli spaces.
Intersection theory on Deligne-Mumford compactifications
Intersection theory using Adams operations.
Intersections of analytic sets with linear subspaces
Intersections of higher weight cycles and modular forms
Intersections of Projective Varieties and Generic Projections.
Intersections of two quadrics and Chatelet surfaces. II.
Intersections of two quadrics and Chatelet surfaces.I.
Intersections sur des courbes modulaires.
Intersection-theoretical computations on
In this paper we explore several concrete problems, all more or less related to the intersection theory of the moduli space of (stable) curves, introduced by Mumford [Mu 1].
Intrinsic Measures of Compact Complex Manifolds.
Intrinsic pseudo-volume forms for logarithmic pairs
We study an adaptation to the logarithmic case of the Kobayashi-Eisenman pseudo-volume form, or rather an adaptation of its variant defined by Claire Voisin, for which she replaces holomorphic maps by holomorphic -correspondences. We define an intrinsic logarithmic pseudo-volume form for every pair consisting of a complex manifold and a normal crossing Weil divisor on , the positive part of which is reduced. We then prove that is generically non-degenerate when is projective and ...
Introducción a la geometría algebraica de trivariedades proyectivas complejas con singularidades ordinarias.
Introduction à la géométrie algébrique réelle
Introduction à l’étude globale des tissus sur une surface holomorphe
Beaucoup de concepts sur les tissus n’ont été étudiés que localement. Il apparaît que certains d’entre eux se laissent globaliser, mais pas toujours de façon immédiate. Le premier objectif de cet article est de préciser à chaque fois ce qu’il en est, et de mettre en place les outils utiles à une étude globale des tissus sur une surface holomorphe arbitraire, et en particulier sur le plan projectif complexe . Certains concepts nouveaux vont alors apparaître, tels le type (ou le degré si ), la...
Introduction aux formes modulaires. Formes modulaires -adiques
Introduction aux travaux de Dwork
Introduction to actions of algebraic groups
These notes present some fundamental results and examples in the theory of algebraic group actions, with special attention to the topics of geometric invariant theory and of spherical varieties. Their goal is to provide a self-contained introduction to more advanced lectures.
Invariance for multiples of the twisted canonical bundle
Let a smooth projective family and a pseudo-effective line bundle on (i.e. with a non-negative curvature current ). In its works on invariance of plurigenera, Y.-T. Siu was interested in extending sections of (defined over the central fiber of the family ) to sections of . In this article we consider the following problem: to extend sections of . More precisely, we show the following result: assuming the triviality of the multiplier ideal sheaf , any section of extends to ; in other...
Invariance of domain in o-minimal structures
The aim of this paper is to prove the theorem on invariance of domain in an arbitrary o-minimal structure. We do not make use of the methods of algebraic topology and the proof is based merely on some basic facts about cells and cell decompositions.