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Title: Alpha invariant and K-stability of Q-Fano varieties
Authors: Odaka, Yuji  kyouindb  KAKEN_id
Sano, Yuji
Author's alias: 尾高, 悠志
佐野, 友二
Keywords: Alpha-invariant
Log-canonical thresholds
Seshadri constants
Issue Date: Mar-2012
Publisher: Elsevier Inc.
Journal title: Advances in Mathematics
Volume: 229
Issue: 5
Start page: 2818
End page: 2834
Abstract: We give a purely algebro–geometric proof that if the α-invariant of a Q-Fano variety X is greater than dim X/(dim X+1), then(X, OX(-KX))is K-stable. The key of our proof is a relation among the Seshadri constants, the α-invariant and K-stability. It also gives applications concerning the automorphism group.
Rights: © 2012 Elsevier Inc.
This is not the published version. Please cite only the published version.
DOI(Published Version): 10.1016/j.aim.2012.01.017
Appears in Collections:Journal Articles

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