On Brauer Groups of Real Enriques Surfaces

Details On Brauer Groups of Real Enriques Surfaces On Brauer Groups of Real Enriques Surfaces

1993-11-28

arxiv.org/abs/alg-geom/9311010v1

Mathematics

Algebraic Geometry

37 pages, Ams-Tex Version 2.1

Scientific paper

Let Y be a real Enriques surface, _2Br(Y) the subgroup of elements of order 2 of Br(Y), and s, s_{or}, and s_{nor} the number of all connected, connected orientable, and connected non-orientable components of Y(R) respectively. Using universal covering K3-surface X of Y, we connect dim _2Br(Y) with the s, s_{or} and s_{nor}. As a geometric corollary of our considerations, we show that s \le 6 and s_{nor} \le 4.

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