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