Empty real Enriques surfaces and Enriques-Einstein-Hitchin 4-manifolds

Details Empty real Enriques surfaces and Enriques-Einstein-Hitchin 4-manifolds Empty real Enriques surfaces and Enriques-Einstein-Hitchin 4-manifolds

1997-04-09

arxiv.org/abs/alg-geom/9704003v1

The Arnoldfest (Toronto, ON, 1997), 131--140, Fields Inst. Commun., v24, Amer. Math. Soc., Providence, RI, 1999

Mathematics

Algebraic Geometry

10 pages, AmS-TeX with amsppt (must be run twice)

Scientific paper

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.

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