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1 results

  • Algebraic cycles and topology of real Enriques surfaces

  • FRÉDÉRIC MANGOLTE, JOOST VAN HAMEL
  • Journal:
    Compositio Mathematica / Volume 110 / Issue 2 / January 1998
    Published online by Cambridge University Press:
    04 December 2007, pp. 215-238
    Print publication:
    January 1998
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  • For a real Enriques surface $Y$ we prove that every homology class in $H_1(Y(R), Z/2)$ can be represented by a real algebraic curve if and only if all connected components of $Y(R)$ are orientable. Furthermore, we give a characterization of real Enriques surfaces which are Galois-Maximal and/or Z-Galois-Maximal and we determine the Brauer group of any real Enriques surface $Y$.