Empty real Enriques surfaces and Enriques-Einstein-Hitchin 4-manifolds
alg-geom
2008-03-21 v1 Algebraic Geometry
Abstract
We prove that the moduli space of empty real Enriques surfaces (and, thus, the moduli space of compact orientable 4-dimensional Einstein manifolds whose universal covering is a K3-surface and \pi_1(E) = Z/2 x Z/2) is connected. The proof is based on a systematic study of real elliptic pencils and gives explicit models of all empty real Enriques surfaces.
Cite
@article{arxiv.alg-geom/9704003,
title = {Empty real Enriques surfaces and Enriques-Einstein-Hitchin 4-manifolds},
author = {A. Degtyarev and V. Kharlamov},
journal= {arXiv preprint arXiv:alg-geom/9704003},
year = {2008}
}
Comments
10 pages, AmS-TeX with amsppt (must be run twice)