On Brauer Groups of Real Enriques Surfaces

Abstract

Let Y be a real Enriques surface, 2Br(Y) the subgroup of elements of order 2 of Br(Y), and s, sor, and snor 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, sor and snor. As a geometric corollary of our considerations, we show that s 6 and snor 4.

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