Some Remarks on the Universal Cover of an Open K3 Surface
نویسندگان
چکیده
We shall give, in an optimal form, a sufficient numerical condition for the finiteness of the fundamental group of the smooth locus of a normal K3 surface. We shall moreover prove that, if the normal K3 surface is elliptic and the above fundamental group is not finite, then there is a finite covering which is a complex torus.
منابع مشابه
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متن کاملar X iv : m at h / 06 06 28 9 v 2 [ m at h . A G ] 1 9 Ju n 20 06 On correspondences of a K 3 surface with itself . IV
Let X be a K3 surface with a polarization H of the degree H 2 = 2rs, r, s ≥ 1, and the isotropic Mukai vector v = (r, H, s) is primitive. Moduli space of sheaves over X with the isotropic Mukai vector (r, H, s) is again a K3 surface, Y. In [12] second author gave necessary and sufficient conditions in terms of Picard lattice N (X) of X when Y is isomorphic to X (important particular cases were ...
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