Complex reflection groups and K3 surfaces II. The groups $G_{29}$, $G_{30}$ and $G_{31}$

Cédric Bonnafé; Alessandra Sarti

Complex reflection groups and K3 surfaces II. The groups $G_{29}$, $G_{30}$ and $G_{31}$

Algebraic Geometry 2021-12-24 v1 Representation Theory

Authors: Cédric Bonnafé , Alessandra Sarti

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

complex reflection groups k3 surfaces minimal resolution weighted projective space algebraic geometry

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@article{arxiv.2112.12400,
  title  = {Complex reflection groups and K3 surfaces II. The groups $G_{29}$, $G_{30}$ and $G_{31}$},
  author = {Cédric Bonnafé and Alessandra Sarti},
  journal= {arXiv preprint arXiv:2112.12400},
  year   = {2021}
}

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46 pages

Complex reflection groups and K3 surfaces II. The groups $G_{29}$, $G_{30}$ and $G_{31}$

Abstract

Keywords

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