Advanced Studies in Pure Mathematics

Automorphisms of Calabi-Yau threefolds with Picard number three

Vladimir Lazić, Keiji Oguiso, and Thomas Peternell

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Abstract

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.

Article information

Source
Higher Dimensional Algebraic Geometry: In honour of Professor Yujiro Kawamata's sixtieth birthday, K. Oguiso, C. Birkar, S. Ishii and S. Takayama, eds. (Tokyo: Mathematical Society of Japan, 2017), 279-290

Dates
Received: 30 October 2013
Revised: 18 March 2014
First available in Project Euclid: 23 October 2018

Permanent link to this document
https://projecteuclid.org/ euclid.aspm/1540319492

Digital Object Identifier
doi:10.2969/aspm/07410279

Mathematical Reviews number (MathSciNet)
MR3791218

Zentralblatt MATH identifier
1388.14117

Subjects
Primary: 14J32: Calabi-Yau manifolds 14J50: Automorphisms of surfaces and higher-dimensional varieties

Citation

Lazić, Vladimir; Oguiso, Keiji; Peternell, Thomas. Automorphisms of Calabi-Yau threefolds with Picard number three. Higher Dimensional Algebraic Geometry: In honour of Professor Yujiro Kawamata's sixtieth birthday, 279--290, Mathematical Society of Japan, Tokyo, Japan, 2017. doi:10.2969/aspm/07410279. https://projecteuclid.org/euclid.aspm/1540319492


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