Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II (Q2817538)

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scientific article; zbMATH DE number 6621174
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Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II
scientific article; zbMATH DE number 6621174

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    Degenerations of Kählerian K3 surfaces with finite symplectic automorphism groups. II (English)
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    1 September 2016
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    \(K3\) surface
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    symplectic automorphisms
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    degenerations
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    In this paper the author proves a conjecture, stated by him in [Izv. Math. 79, No. 4, 740--794 (2015; Zbl 1348.14097); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 79, No. 4, 103--158 (2015)].NEWLINENEWLINEMore precisely, the author shows that the type of a codimension one degenerations of Kähler \(K3\) surfaces determines with a finite symplectic automorphism group determines the isomorphism class of the degeneration, except for few more or less obvious exceptions.
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