The Period Lattice for Enriques Surfaces

Details The Period Lattice for Enriques Surfaces The Period Lattice for Enriques Surfaces

1999-05-26

arxiv.org/abs/math/9905166v1

Mathematics

Algebraic Geometry

5 pages; submitted

Scientific paper

We simplify the usual statement of the Torelli theorem for complex Enriques
surfaces, by means of a lattice-theoretic trick. This allows easy proofs of
several known results, which previously required intricate arithmetic
arguments. The main new result is that the moduli space has contractible
universal cover.

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