Open Access
VOL. 69 | 2016 Kählerian K3 surfaces and Niemeier lattices, II
Viacheslav V. Nikulin

Editor(s) Osamu Fujino, Shigeyuki Kondō, Atsushi Moriwaki, Masa-Hiko Saito, Kōta Yoshioka

Adv. Stud. Pure Math., 2016: 421-471 (2016) DOI: 10.2969/aspm/06910421

Abstract

This is a continuation of our paper [13] where we considered markings of Kählerian K3 surfaces by Niemeier lattices and studied in details these markings and their applications to finite symplectic automorphism groups and non-singular rational curves of K3 surfaces for the first Niemeier lattices $N_k$, $k=1,2,\dots,21$.

Here we do the same for the remaining Niemeier lattices $N_{22}$ and $N_{23}$ with root systems $12A_2$ and $24A_1$ respectively.

Information

Published: 1 January 2016
First available in Project Euclid: 4 October 2018

zbMATH: 1373.14035
MathSciNet: MR3616984

Digital Object Identifier: 10.2969/aspm/06910421

Subjects:
Primary: 14C22 , 14C25 , 14J28 , 14J50

Keywords: automorphism group , K3 surface , Picard lattice , Rational curve

Rights: Copyright © 2016 Mathematical Society of Japan

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