Non-homeomorphic conjugate complex varieties

2007/01/04 by Ichiro Shimada, Shimada, Ichiro · 2 citations
Mathematics · #14F45 #14H50 #14J28 #14K22 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/0701115

openalex publication_date 2007/01/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Cited by

• Zariski-van Kampen method and transcendental lattices of certain singular K3 surfaces
• Discriminantal groups and Zariski pairs of sextic curves

Related

• An example of non-homeomorphic conjugate varieties
• Topology of Conjugate Varieties
• Algebraic varieties are homeomorphic to varieties defined over number fields
• Rationally connected varieties
• Intrinsic complexification of real-analytic varieties