Abelian Fourfolds of Weil type and certain K3 Double Planes
Algebraic Geometry
2013-04-10 v3
Abstract
Double planes branched in 6 lines give a famous example of K3 surfaces. Their moduli are well understood and related to abelian fourfolds of Weil type. We compare these two moduli interpretations and in particular divisors on the moduli spaces. On the K3 side, this is achieved with the help of elliptic fibrations. We also study the Kuga-Satake correspondence on these special divisors.
Keywords
Cite
@article{arxiv.1209.5997,
title = {Abelian Fourfolds of Weil type and certain K3 Double Planes},
author = {Giuseppe Lombardo and Chris Peters and Matthias Schuett},
journal= {arXiv preprint arXiv:1209.5997},
year = {2013}
}
Comments
48 pages, 4 figures; v3: final version with several additions suggested by the referee