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GIT-cones and quivers

2009/03/06 by Nicolas Ressayre, Ressayre, Nicolas · 1 citation
Mathematics · #Algebraic structures and combinatorial models #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory

paper · doi:10.48550/arxiv.0903.1202

Abstract

In this work, we improve results about GIT-cones associated to the action of any reductive group G on a projective variety X. These results are applied to give a short proof of a Derksen-Weyman's Theorem which parametrizes bijectively the faces of a rational cone associated to any quiver without oriented cycle.

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