Invariant theory for linear algebraic groups II (char k arbitrary)
A. Fauntleroy (1988)
Compositio Mathematica
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A. Fauntleroy (1988)
Compositio Mathematica
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Reichstein, Zinovy, Vonessen, Nikolaus (2004)
Journal of Lie Theory
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Hausen, Jürgen (2001)
Documenta Mathematica
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Jean-Marc Drézet, Günther Trautmann (2003)
Annales de l’institut Fourier
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We extend the methods of geometric invariant theory to actions of non–reductive groups in the case of homomorphisms between decomposable sheaves whose automorphism groups are non–reductive. Given a linearization of the natural action of the group on Hom(E,F), a homomorphism is called stable if its orbit with respect to the unipotent radical is contained in the stable locus with respect to the natural reductive subgroup of the automorphism group. We encounter effective numerical conditions...
Haruhisa Nakajima (1995)
Annales de l'institut Fourier
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Let be an affine conical factorial variety over an algebraically closed field of characteristic zero. We consider equidimensional and stable algebraic actions of an algebraic torus on compatible with the conical structure. We show that such actions are cofree and the nullcones of associated with them are complete intersections.
John N. Mather (1969)
Publications Mathématiques de l'IHÉS
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Michel Brion (2010)
Les cours du CIRM
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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.