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Intersections of two quadrics and Chatelet surfaces. II.

J.-L. Colliot-Thélène, J.-J. Sansuc (1987)

Journal für die reine und angewandte Mathematik

Intersections of two quadrics and Chatelet surfaces.I.

J.-L. Colliot-Thélene, J.-J. Sansuc (1987)

Journal für die reine und angewandte Mathematik

Intrinsic pseudo-volume forms for logarithmic pairs

Thomas Dedieu (2010)

Bulletin de la Société Mathématique de France

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 $K$ -correspondences. We define an intrinsic logarithmic pseudo-volume form $Φ_{X, D}$ for every pair $(X, D)$ consisting of a complex manifold $X$ and a normal crossing Weil divisor $D$ on $X$ , the positive part of which is reduced. We then prove that $Φ_{X, D}$ is generically non-degenerate when $X$ is projective and $K_{X} + D$ ...

Introducción a la geometría algebraica de trivariedades proyectivas complejas con singularidades ordinarias.

J. Finat (1988)

Revista de la Real Academia de Ciencias Exactas Físicas y Naturales

Introduction to actions of algebraic groups

Michel Brion (2010)

Les cours du CIRM

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.