Automorphisms of Calabi-Yau threefolds with Picard number three. (English) Zbl 1388.14117

Lazić, Vladimir; Oguiso, Keiji; Peternell, Thomas

Oguiso, Keiji (ed.) et al., Higher dimensional algebraic geometry. In honour of Professor Yujiro Kawamata’s sixtieth birthday. Proceedings of the conference, Tokyo, Japan, January 7–11, 2013. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-046-4/hbk). Advanced Studies in Pure Mathematics 74, 279-290 (2017).

Summary: We prove that the automorphism group of a Calabi-Yau threefold with Picard number three is either finite, or isomorphic to the infinite cyclic group up to finite kernel and cokernel.
For the entire collection see [Zbl 1388.14012].

MSC:

14J32	Calabi-Yau manifolds (algebro-geometric aspects)
14J50	Automorphisms of surfaces and higher-dimensional varieties