Irreducible Heegner divisors in the period space of Enriques surfaces
Date
2008
Authors
Koca, C.
Sertöz, A. S.
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
Source Title
International Journal of Mathematics
Print ISSN
0129-167X
Electronic ISSN
1793-6519
Publisher
World Scientific Publishing Co. Pte. Ltd.
Volume
19
Issue
2
Pages
209 - 215
Language
English
Type
Journal Title
Journal ISSN
Volume Title
Series
Abstract
Reflection walls of certain primitive vectors in the anti-invariant sublattice of the K3 lattice define Heegner divisors in the period space of Enriques surfaces. We show that depending on the norm of these primitive vectors, these Heegner divisors are either irreducible or have two irreducible components. The two components are obtained as the walls orthogonal to primitive vectors of the same norm but of different type as ordinary or characteristic. © 2008 World Scientific Publishing Company.