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arXiv · 1307.5490

Birational automorphism groups of projective varieties of Picard number two

De-Qi Zhang
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Abstract

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.

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De-Qi Zhang. 2013-07-21. Birational automorphism groups of projective varieties of Picard number two. https://arxiv.org/abs/1307.5490

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