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Fano-type surfaces with large cyclic automorphisms

Part of: Birational geometry Special varieties

Published online by Cambridge University Press:  05 August 2021

Joaquín Moraga
Joaquín Moraga*
Affiliation:
Department of Mathematics, Princeton University, Fine Hall, Washington Road, Princeton, NJ08544-1000, USA
*
E-mail: jmoraga@math.princeton.edu.

Abstract

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We give a characterisation of Fano-type surfaces with large cyclic automorphisms. As an application, we give a characterisation of Kawamata log terminal $3$ -fold singularities with large class groups of rank at least $2$ .

MSC classification

Primary: 14E30: Minimal model program (Mori theory, extremal rays)
Secondary: 14M25: Toric varieties, Newton polyhedra
Type
Algebraic and Complex Geometry
Information
Forum of Mathematics, Sigma , Volume 9 , 2021 , e54
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Creative Commons
Creative Common License - CCCreative Common License - BY
This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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