Super-rigid affine Fano varieties

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TitreSuper-rigid affine Fano varieties
Type de publicationJournal Article
Year of Publication2018
AuteursCheltsov I, Dubouloz A, Park J
JournalCOMPOSITIO MATHEMATICA
Volume154
Pagination2462-2484
Date PublishedNOV
Type of ArticleArticle
ISSN0010-437X
Mots-clésA(1)-cylinder, affine Fano variety, alpha-invariant, automorphism, birational automorphism, del Pezzo surface, Fano variety, finite quotient of affine space, G(a)-action, log Noether-Fano inequality, polar cylinder, purely log terminal, super-rigidity
Résumé

We study a wide class of affine varieties, which we call affine Fano varieties. By analogy with birationally super-rigid Fano varieties, we define super-rigidity for affine Fano varieties, and provide many examples and non-examples of super-rigid affine Fano varieties.

DOI10.1112/S0010437X18007534