The Period Lattice for Enriques Surfaces
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- May 1999
- DOI:
- 10.48550/arXiv.math/9905166
- arXiv:
- arXiv:math/9905166
- Bibcode:
- 1999math......5166A
- Keywords:
-
- Algebraic Geometry;
- 14J28 (11F55;
- 11E12)
- E-Print:
- 5 pages