Classification of~degenerations and Picard lattices of~K\" ahlerian
Izvestiya. Mathematics , Tome 83 (2019) no. 6, pp. 1201-1233
Voir la notice de l'article provenant de la source Math-Net.Ru
In [1]–[6] we classified the degenerations and Picard lattices of Kählerian K3 surfaces with finite symplectic
automorphism groups
of high order. This classification was not considered for the remaining groups of small order
($D_6$, $C_4$, $(C_2)^2$, $C_3$, $C_2$ and $C_1$) 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 order $6$.
Keywords:
K3 surface, degeneration, Picard lattice
Mots-clés : automorphism group.
Mots-clés : automorphism group.
@article{IM2_2019_83_6_a3,
author = {V. V. Nikulin},
title = {Classification of~degenerations and {Picard} lattices {of~K\"} ahlerian},
journal = {Izvestiya. Mathematics },
pages = {1201--1233},
publisher = {mathdoc},
volume = {83},
number = {6},
year = {2019},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2019_83_6_a3/}
}
V. V. Nikulin. Classification of~degenerations and Picard lattices of~K\" ahlerian. Izvestiya. Mathematics , Tome 83 (2019) no. 6, pp. 1201-1233. http://geodesic.mathdoc.fr/item/IM2_2019_83_6_a3/