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On K-stability of reductive varieties
Authors:V Alexeev  L Katzarkov
Affiliation:(1) Department of Mathematics, University of Georgia, Athens, GA 30602, USA;(2) Department of Mathematics, UC Irvine, Irvine, CA 92612, USA
Abstract:G. Tian and S.K. Donaldson formulated a conjecture relating GIT stability of a polarized algebraic variety to the existence of a Kähler metric of constant scalar curvature. In D3] Donaldson partially confirmed it in the case of projective toric varieties. In this paper we extend Donaldson’s results and computations to a new case, that of reductive varieties.Received: November 2003 Revision: January 2004 Accepted: January 2004
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