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Asymptotic GIT-stability of KSB-stable varieties
Sándor J Kovács, Behrouz Taji
Source abstract
We prove that KSB-stable varieties introduced by Kollár and Shepherd-Barron as a generalization of Deligne-Mumford's stable curves are stable in the sense of geometric invariant theory (GIT). More precisely, we show that KSB-stable varieties are asymptotically GIT-stable with respect to a sequence of linearizations defined by the Hodge bundle.
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