Modular Invariants for Lattice Polarized K3 Surfaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study the class of complex algebraic K3 surfaces admitting an embedding of H+E8+E8 inside the Neron-Severi lattice. These special K3 surfaces are classified by a pair of modular invariants, in the same manner that elliptic curves over the field of complex numbers are classified by the J-invariant. Via the canonical Shioda-Inose structure we construct a geometric correspondence relating K3 surfaces of the above type with abelian surfaces realized as cartesian products of two elliptic curves. We then use this correspondence to determine explicit formulas for the modular invariants.
29 pages, LaTex

Keywords

Algebraic Geometry, High Energy Physics - Theory

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/108887

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0602146
 http://arxiv.org/abs/math/0602146

Collections

arXiv