Open Access
October, 2017 The Toledo invariant, and Seshadri constants of fake projective planes
Luca F. DI CERBO
J. Math. Soc. Japan 69(4): 1601-1610 (October, 2017). DOI: 10.2969/jmsj/06941601

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.

Citation

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Luca F. DI CERBO. "The Toledo invariant, and Seshadri constants of fake projective planes." J. Math. Soc. Japan 69 (4) 1601 - 1610, October, 2017. https://doi.org/10.2969/jmsj/06941601

Information

Published: October, 2017
First available in Project Euclid: 25 October 2017

zbMATH: 1381.32011
MathSciNet: MR3715818
Digital Object Identifier: 10.2969/jmsj/06941601

Subjects:
Primary: 32Q45
Secondary: 14J29

Keywords: fake projective planes , Seshadri constants , Toledo Invariant

Rights: Copyright © 2017 Mathematical Society of Japan

Vol.69 • No. 4 • October, 2017
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