2019 A flat projective variety with $D_8$-holonomy
Francis E. A. Johnson
Tohoku Math. J. (2) 71(2): 319-326 (2019). DOI: 10.2748/tmj/1561082601

Abstract

We show explicitly that the compact flat Kähler manifold of complex dimension three with $D_8$ holonomy studied by Dekimpe, Halenda and Szczepanski ([5] p. 367) possesses the structure of a nonsingular projective variety. This corrects a previous statement by H. Lange in [9] that the holonomy group of a hyperelliptic threefold is necessarily abelian.

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Francis E. A. Johnson. "A flat projective variety with $D_8$-holonomy." Tohoku Math. J. (2) 71 (2) 319 - 326, 2019. https://doi.org/10.2748/tmj/1561082601

Information

Published: 2019
First available in Project Euclid: 21 June 2019

zbMATH: 07108042
MathSciNet: MR3973254
Digital Object Identifier: 10.2748/tmj/1561082601

Subjects:
Primary: 53C29
Secondary: 14F35 , 14K02 , 32J27

Keywords: complex projective variety , flat manifold , holonomy group

Rights: Copyright © 2019 Tohoku University

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Vol.71 • No. 2 • 2019
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