Browsing by Subject "Real algebraic surface"

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    Halves of a real Enriques surface
    (European Mathematical Society Publishing House, 1996) Degtyarev, A.; Kharlamov, V.
    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.
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    ItemOpen Access
    On real Enriques surfaces
    (1997) Küçük, Özgül
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    Topological properties of real algebraic varieties: du coté de chez Rokhlin
    (Russian Academy of Sciences, (DoM) and London Mathematical Society, 2000) Degtyarev, A. I.; Kharlamov, V. M.
    The survey gives an overview of the achievements in topology of real algebraic varieties in the direction initiated in the early 70th by V. I. Arnold and V. A. Rokhlin. We make an attempt to systematize the principal results in the subject. After an exposition of general tools and results, special attention is paid to surfaces and curves on surfaces.