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15 April 2020 Explicit equations of a fake projective plane
Lev A. Borisov, JongHae Keum
Duke Math. J. 169(6): 1135-1162 (15 April 2020). DOI: 10.1215/00127094-2019-0076

Abstract

Fake projective planes are smooth, complex surfaces of general type with Betti numbers equal to those of the usual projective plane. They come in complex conjugate pairs and have been classified as quotients of the 2-dimensional ball by explicitly written arithmetic subgroups. In the following, we find equations of a projective model of a conjugate pair of fake projective planes by studying the geometry of the quotient of such surface by an order 7 automorphism.

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Lev A. Borisov. JongHae Keum. "Explicit equations of a fake projective plane." Duke Math. J. 169 (6) 1135 - 1162, 15 April 2020. https://doi.org/10.1215/00127094-2019-0076

Information

Received: 23 April 2018; Revised: 15 October 2019; Published: 15 April 2020
First available in Project Euclid: 5 March 2020

zbMATH: 07198473
MathSciNet: MR4085079
Digital Object Identifier: 10.1215/00127094-2019-0076

Subjects:
Primary: 14J29
Secondary: 14F05, 32N15, 32Q40

Rights: Copyright © 2020 Duke University Press

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Vol.169 • No. 6 • 15 April 2020
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