J. Korean Math. Soc. 2023; 60(4): 695-743
Online first article June 21, 2023 Printed July 1, 2023
Copyright © The Korean Mathematical Society.
Cédric Bonnafé, Alessandra Sarti
IMAG, Universit'e de Montpellier; UMR 7348 CNRS, TSA 61125, 11 bd Marie et Pierre Curie
We study some K3 surfaces obtained as minimal resolutions of quotients of subgroups of special reflection groups. Some of these were already studied in a previous paper by W.~Barth and the second author. We give here an easy proof that these are K3 surfaces, give equations in weighted projective space and describe their geometry.
Keywords: K3 surfaces, reflection groups, elliptic fibrations
MSC numbers: Primary 14J28; Secondary 20F55
Supported by: The first author is partly supported by the ANR: project No. ANR-16-CE40-0010-01 (GeRepMod) and ANR-18-CE40-0024-02 (CATORE). The second author is partly supported by the ANR: project No. ANR-20-CE40-0026-01 (SMAGP).
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