The moduli space of rational elliptic surfaces

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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

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Algebraic Geometry, 14J15, 14J27, 32N10

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http://salesiana.dossiersoluciones.com/handle/123456789/60034

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0010020
 http://arxiv.org/abs/math/0010020

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arXiv