The moduli space of rational elliptic surfaces

Details The moduli space of rational elliptic surfaces The moduli space of rational elliptic surfaces

2000-10-02

arxiv.org/abs/math/0010020v2

Mathematics

Algebraic Geometry

The use of Weierstrass models led to a simplification and shortening of (the old) Section 3. We have now put this material in

Scientific paper

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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