Browsing by Subject "Enriques 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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    On the monodromy groups of real Enriques surfaces
    (2003) Erdoğan, Sultan
    In this thesis we start the study of the fundamental group of the moduli space of real Enriques surfaces. The principal result is the assertion that, with one exception, any permutation of components of the half E (2) R of a real Enriques surface with a distinguished half E (1) R = Vd+2, d ≥ 1 can be realized by deformations and automorphisms. In the exceptional case ER = {V3} t {V1 t 4S} only a subgroup Z2 × Z2 ⊂ S4 can be realized.