The moduli space of rational elliptic surfaces
arXiv:math/0010020
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.
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