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arxiv: math/9905166 · v1 · submitted 1999-05-26 · 🧮 math.AG

The Period Lattice for Enriques Surfaces

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keywords enriquessurfacesallowsargumentsarithmeticcomplexcontractiblecover
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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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