Rational Invariants of a Group Action

Evelyne Hubert 1
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis, CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : This article is based on an introductory lecture delivered at the Journées Nationales de Calcul Formel that took place at the Centre International de Recherche en Mathématiques (2013) in Marseille. We introduce basic notions on algebraic group actions and their invariants. Based on geometric consideration, we present algebraic constructions for a generating set of rational invariants.
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Evelyne Hubert. Rational Invariants of a Group Action. Journees Nationales de Calcul Formel, P. Boito and G. Chèze and C. Pernet and M. Safey El Din, May 2013, Marseille, France. 10p. ⟨hal-00839283⟩

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