Birational automorphism groups of projective varieties of Picard number two
Algebraic Geometry
2018-06-20 v2 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1307.5490,
title = {Birational automorphism groups of projective varieties of Picard number two},
author = {De-Qi Zhang},
journal= {arXiv preprint arXiv:1307.5490},
year = {2018}
}
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