Open Access
VOL. 56 | 2009 Non-homeomorphic conjugate complex varieties
Chapter Author(s) Ichiro Shimada
Editor(s) Jean-Paul Brasselet, Shihoko Ishii, Tatsuo Suwa, Michel Vaquie
Adv. Stud. Pure Math., 2009: 285-301 (2009) DOI: 10.2969/aspm/05610285

Abstract

We present a method to produce examples of non-homeomorphic conjugate complex varieties based on the genus theory of lattices. As an application, we give examples of arithmetic Zariski pairs.

Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1192.14017
MathSciNet: MR2604087

Digital Object Identifier: 10.2969/aspm/05610285

Subjects:
Primary: 14F45
Secondary: 14H50 , 14J28 , 14K22

Keywords: arithmetic Zariski pairs , Conjugate varieties , K3 surfaces , lattice

Rights: Copyright © 2009 Mathematical Society of Japan

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