Testing Log K-stability by blowing up formalism
Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 24 (2015) no. 3, pp. 505-522.

Nous étudions la K-stabilité logarithmique pour des paires, étendant la formule pour les invariants de Donaldson-Futaki au contexte logarithmique. Nous développons également le versant algébro-géométrique de résultats récents d’existence de métriques Kähler-Einstein à singularités coniques. Nous étudions notamment la relation entre la stabilité logarithmique et les seuils log canoniques globaux.

We study logarithmic K-stability for pairs by extending the formula for Donaldson-Futaki invariants to log setting. We also provide algebro-geometric counterparts of recent results of existence of Kähler-Einstein metrics with cone singularities. In particular, we will study the relation between log K-stability and the global log canonical thresholds.

DOI : 10.5802/afst.1453
Odaka, Yuji 1 ; Sun, Song 2

1 Department of Mathematics, Kyoto university (Japan)
2 Department of Mathematics, Stony Brook University, Stony Brook, NY 11794 (USA)
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Odaka, Yuji; Sun, Song. Testing Log K-stability by blowing up formalism. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 6, Tome 24 (2015) no. 3, pp. 505-522. doi : 10.5802/afst.1453. http://www.numdam.org/articles/10.5802/afst.1453/

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