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The Period Lattice for Enriques Surfaces

Daniel Allcock
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Abstract

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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Daniel Allcock. 1999-05-26. The Period Lattice for Enriques Surfaces. https://arxiv.org/abs/math/9905166

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