Degenerations of K\"ahlerian K3 surfaces with finite symplectic automorphism groups. II
Izvestiya. Mathematics , Tome 80 (2016) no. 2, pp. 359-402
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We prove the main conjecture (Conjecture 7.1) of the paper [1]. Using this result, we classify degenerations of codimension 1 of Kählerian K3 surfaces with finite symplectic automorphism groups.
Keywords:
K3 surface, Kählerian surface, degeneration, singularities, Picard lattice, integral symmetric bilinear form.
Mots-clés : automorphism group
Mots-clés : automorphism group
@article{IM2_2016_80_2_a5,
author = {V. V. Nikulin},
title = {Degenerations of {K\"ahlerian} {K3} surfaces with finite symplectic automorphism groups. {II}},
journal = {Izvestiya. Mathematics },
pages = {359--402},
publisher = {mathdoc},
volume = {80},
number = {2},
year = {2016},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2016_80_2_a5/}
}
V. V. Nikulin. Degenerations of K\"ahlerian K3 surfaces with finite symplectic automorphism groups. II. Izvestiya. Mathematics , Tome 80 (2016) no. 2, pp. 359-402. http://geodesic.mathdoc.fr/item/IM2_2016_80_2_a5/