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arXiv:1307.5490 [math.AG]AbstractReferencesReviewsResources

Birational automorphism groups of projective varieties of Picard number two

De-Qi Zhang

Published 2013-07-21, updated 2013-10-26Version 2

We slightly extend a result of Oguiso on birational or automorphism groups (resp. of Lazi\'c - Peternell on Morrison-Kawamata cone conjecture) from Calabi-Yau manifolds of Picard number two to arbitrary singular varieties X (resp. to klt Calabi-Yau pairs in broad sense) of Picard number two. When X has only klt singularities and is not a complex torus, we show that either Aut(X) is almost cyclic, or it has only finitely many connected components.

Comments: title slightly changed to this; some proof simplified; submitted to the Proceedings of Groups of Automorphisms in Birational and Affine Geometry, 28 October - 3 November 2012, C.I.R.M., Trento, Italy
Categories: math.AG, math.DS
Subjects: 14J50, 14E07, 32H50
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