On Brauer Groups of Real Enriques Surfaces

1993/11/28 by Nikulin, V. V., Sujatha, R.
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.alg-geom/9311010

Abstract

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 ≤ 6 and s_nor ≤ 4.

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