Journal of the Mathematical Society of Japan

The Toledo invariant, and Seshadri constants of fake projective planes

Luca F. DI CERBO

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Abstract

The purpose of this paper is to explicitly compute the Seshadri constants of all ample line bundles on fake projective planes. The proof relies on the theory of the Toledo invariant, and more precisely on its characterization of $\mathbb{C}$-Fuchsian curves in complex hyperbolic spaces.

Article information

Source
J. Math. Soc. Japan Volume 69, Number 4 (2017), 1601-1610.

Dates
First available in Project Euclid: 25 October 2017

Permanent link to this document
https://projecteuclid.org/euclid.jmsj/1508918571

Digital Object Identifier
doi:10.2969/jmsj/06941601

Zentralblatt MATH identifier
06821654

Subjects
Primary: 32Q45: Hyperbolic and Kobayashi hyperbolic manifolds
Secondary: 14J29: Surfaces of general type

Keywords
Toledo Invariant Seshadri constants fake projective planes

Citation

DI CERBO, Luca F. The Toledo invariant, and Seshadri constants of fake projective planes. J. Math. Soc. Japan 69 (2017), no. 4, 1601--1610. doi:10.2969/jmsj/06941601. https://projecteuclid.org/euclid.jmsj/1508918571


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