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arxiv: 0903.1202 · v1 · submitted 2009-03-06 · 🧮 math.AG

GIT-cones and quivers

classification 🧮 math.AG
keywords associatedgit-conesresultsactionappliedbijectivelyconecycle
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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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