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

Cédric Bonnafé; Alessandra Sarti

doi:10.4134/JKMS.j220014

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

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

Cédric Bonnafé et Alessandra Sarti

Journal of the Korean Mathematical Society, Vol.60, pp.695-743

01/07/2023

DOI: https://doi.org/10.4134/JKMS.j220014

Résumé

We study some K3 surfaces obtained as minimal resolutions of quotients of subgroups of special reection 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.

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Titre: Complex reflection groups and K3 surfaces II. The groups $G_{29}$, $G_{30}$ and $G_{31}$.
Créateurs - sans rôle: Cédric Bonnafé - Université de Montpellier, Institut Montpelliérain Alexander Grothendieck - IMAG
Alessandra Sarti - Laboratoire de Mathématiques et Applications
Détails de publication: Journal of the Korean Mathematical Society, Vol.60, pp.695-743
Identifiants: 99152105409311
Unité académique: Institut Montpelliérain Alexander Grothendieck - IMAG
Langue: English
Type de ressource: Journal article
Champs locaux: hal-03565113