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On K-stability of reductive varieties

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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.

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Authors and Affiliations

  1. Department of Mathematics, University of Georgia, Athens, GA, 30602, USA

    V. Alexeev

  2. Department of Mathematics, UC Irvine, Irvine, CA, 92612, USA

    L. Katzarkov

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  1. V. Alexeev
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  2. L. Katzarkov
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Correspondence to V. Alexeev.

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Received: November 2003 Revision: January 2004 Accepted: January 2004

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Alexeev, V., Katzarkov, L. On K-stability of reductive varieties. GAFA, Geom. funct. anal. 15, 297–310 (2005). https://doi.org/10.1007/s00039-005-0507-x

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  • DOI: https://doi.org/10.1007/s00039-005-0507-x

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