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Article
On birational transformations of pairs in the complex plane
This article deals with the study of the birational transformations of the projective complex plane which leave invariant an irreducible algebraic curve. We try to describe the state of the art and provide som...
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Article
Sur un théorème de Castelnuovo
Nous poursuivons l'étude faite par G. Castelnuovo en 1892 au sujet du groupe des transformations birationnelles du plan complexe qui fixent points par points une courbe de genre >1 ; nous nous servons comme lu...
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Chapter
Local Properties of Algebraic Group Actions
In this article we present a fundamental result due to Sumihiro. It states that every normal G-variety X, where G is a connected linear algebraic group, is locally isomorphic to a quasi-projective G-variety, i.e....
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Chapter
The Picard Group of a G-Variety
Let G be a reductive algebraic group and X an algebraic G-variety which admits a quotient it: X → X//G. In this article we describe several results concerning the Picard group Pic(X//G) of the quotient and the gr...
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Chapter
Almost Homogeneous Artin-MoiŠezon Varieties Under the Action of PSL2(C)
Let X be an analytic compact connected complex variety. Denote by \(\mathcal{M}(X)\) the field of global meromorphic functions ...
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Chapter
Fractions Rationnelles Invariantes par un Groupe Fini: Quelques Exemples
Il s’agit de la question classique (W. Burnside, E. Noether): soit G un groupe fini et V un G-module de dimension finie (sur le corps C des nombres complexes); on note C(V) G le cor...
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Chapter and Conference Paper
Foncteurs polynomiaux et theorie des invariants