2013
DOI: 10.1017/s0027763000010710
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Kulikov surfaces form a connected component of the moduli space

Abstract: We show that the Kulikov surfaces form a connected component of the moduli space of surfaces of general type with p g = 0 and K 2 = 6. We also give a new description for these surfaces, extending ideas of Inoue. Finally we calculate the bicanonical degree of Kulikov surfaces, and prove that they verify the Bloch conjecture.

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Cited by 3 publications
(4 citation statements)
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“…These surfaces are smooth, have ample K X , K 2 X = 6, and p g = q = 1. The moduli space together with its compactification was considered in [16], from a different point of view. We give it here to illustrate our methods.…”
Section: Kulikov Surfacesmentioning
confidence: 99%
“…These surfaces are smooth, have ample K X , K 2 X = 6, and p g = q = 1. The moduli space together with its compactification was considered in [16], from a different point of view. We give it here to illustrate our methods.…”
Section: Kulikov Surfacesmentioning
confidence: 99%
“…For details on the Kulikov surface (first described in [34]), its torsion group and moduli space, see [19]. The Kulikov surface X is a (Z/3) 2 -cover of the del Pezzo surface Y of degree 6.…”
Section: The Kulikov Surface Withmentioning
confidence: 99%
“…The exceptional curves are denoted E i . By results of [19], the torsion group Tors X is isomorphic to (Z/3) 3 , so the maximal abelian cover ψ : A → Y has group G ∼ = (Z/3) 5 . Let g i generate G, and write g * i for the dual generators of G * .…”
Section: The Kulikov Surface Withmentioning
confidence: 99%
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