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 Izv. RAN. Ser. Mat., Forthcoming paper (Mi izv8868)

Classification of degenerations and Picard lattices of Kahlerian K3 surfaces with symplectic automorphism group D_6

V. V. Nikulinab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b Department of Mathematical Sciences, University of Liverpool

Abstract: In our papers [Nik7][Nik12], we classified degenerations and Picard lattices of Kählerian K3 surfaces with finite symplectic automorphism groups of high order. For remaining groups of small order: $D_6$, $C_4$, $(C_2)^2$, $C_3$, $C_2$ and $C_1$ it was not considered because each of these cases requires very long and difficult considerations and calculations. Here we consider this classification for the dihedral group $D_6$ of the order $6$.

Keywords: K3 surface, degeneration, Picard lattice, automorphism group

English version:
DOI: https://doi.org/10.1070/IM8868