论文标题
k3表面$ m_ {20} $带有组的动作
K3 surfaces with action of the group $M_{20}$
论文作者
论文摘要
穆凯（Mukai）表明，在K3表面上忠实和符合性作用的有限组的最大顺序为960，如果该组的订单为960，则对Mathieu组$ M_ {20} $是同构。在本文中，我们对投射K3表面感兴趣，该表面承认该组$ m_ {20} $的忠实符合性动作。我们表明，此操作有无限的K3表面，我们描述了它们及其投影模型，并提供了一些明确的例子。
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.
