The moduli space of rational elliptic surfaces
Algebraic Geometry
2007-05-23 v2
Abstract
We show that the moduli space of rational elliptic surfaces admitting a section is locally a complex hyperbolic variety of dimension eight. We compare its Satake-Baily-Borel compactification with a compactification obtained by means of geometric invariant theory, considered by Miranda.
Cite
@article{arxiv.math/0010020,
title = {The moduli space of rational elliptic surfaces},
author = {Gert Heckman and Eduard Looijenga},
journal= {arXiv preprint arXiv:math/0010020},
year = {2007}
}
Comments
The use of Weierstrass models led to a simplification and shortening of (the old) Section 3. We have now put this material in Section 2. We also added a few references