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arXiv · 2201.02150

K3 surfaces with action of the group $M_{20}$

Paola Comparin·Romain Demelle
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Abstract

It was shown by Mukai that the maximum order of a finite group acting faithfully and symplectically on a K3 surface is 960 and if such a group has order 960, then it is isomorphic to the Mathieu group $M_{20}$. In this paper, we are interested in projective K3 surfaces admitting a faithful symplectic action of the group $M_{20}$. We show that there are infinitely many K3 surfaces with this action and we describe them and their projective models, giving some explicit examples.

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BibTeXRIS

Paola Comparin, Romain Demelle. 2023-05-22. K3 surfaces with action of the group $M_{20}$. https://arxiv.org/abs/2201.02150

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