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      Halves of a real Enriques surface

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      Author(s)
      Degtyarev, A.
      Kharlamov, V.
      Date
      1996
      Source Title
      Commentarii Mathematici Helvetici
      Print ISSN
      0010-2571
      Electronic ISSN
      1420-8946
      Publisher
      European Mathematical Society Publishing House
      Volume
      71
      Issue
      1
      Pages
      628 - 663
      Language
      English
      Type
      Article
      Item Usage Stats
      124
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      Abstract
      The real partE ℝ of a real Enriques surfaceE admits a natural decomposition in two halves,E ℝ=E ℝ (1) ∪E ℝ (2) , each half being a union of components ofE ℝ. We classify the triads (E ℝ;E ℝ (1) ,E ℝ (2) ) up to homeomorphism. Most results extend to surfaces of more general nature than Enriques surfaces. We use and study in details the properties of Kalinin's filtration in the homology of the fixed point set of an involution, which is a convenient tool not widely known in topology of real algebraic varieties.
      Keywords
      Enriques surface
      Real algebraic surface
      Involution on manifold
      Permalink
      http://hdl.handle.net/11693/49065
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      • Department of Mathematics 653
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