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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...

    Jérémy Blanc, Ivan Pan, Thierry Vust in Geometriae Dedicata (2009)

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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...

    Jérémy Blanc, Ivan Pan*, Thierry Vust in Bulletin of the Brazilian Mathematical Soc… (2008)

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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....

    Friedrich Knop, Hanspeter Kraft in Algebraische Transformationsgruppen und In… (1989)

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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...

    Friedrich Knop, Hanspeter Kraft in Algebraische Transformationsgruppen und In… (1989)

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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 ...

    Domingo Luna, Lucy Moser-Jauslin in Topological Methods in Algebraic Transform… (1989)

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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...

    Michel Kervaire, Thierry Vust in Algebraische Transformationsgruppen und In… (1989)

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    Chapter and Conference Paper

    Foncteurs polynomiaux et theorie des invariants

    Thierry Vust in Séminaire d'Algèbre Paul Dubreil et Marie-Paule Malliavin (1980)