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

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].


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