On K-stability of reductive varieties |
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| Authors: | V. Alexeev L. Katzarkov |
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| Affiliation: | (1) Department of Mathematics, University of Georgia, Athens, GA 30602, USA;(2) Department of Mathematics, UC Irvine, Irvine, CA 92612, USA |
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| 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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