Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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COMPLEX REFLECTION GROUPS AND K3 SURFACES II. THE GROUPS G29, G30 AND G31

  • Received : 2022.01.09
  • Accepted : 2023.03.23
  • Published : 2023.07.01
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Abstract

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

Acknowledgement

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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