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The moduli space of rational elliptic surfaces

Gert Heckman·Eduard Looijenga
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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.

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Gert Heckman, Eduard Looijenga. 2001-01-10. The moduli space of rational elliptic surfaces. https://arxiv.org/abs/math/0010020

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