ON -ACTIONS ON K3 SURFACES IN POSITIVE CHARACTERISTIC
ON -ACTIONS ON K3 SURFACES IN POSITIVE CHARACTERISTIC
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K3 表面上的积极特征的作用
DOI：
10.1017/nmj.2022.20
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发表时间：
2022
影响因子：
0.8
通讯作者：
MATSUMOTO YUYA
中科院分区：
文献类型：
--
作者：
Oi Masao;Sakamoto Ryotaro;Tamori Hiroyoshi;Naoki Fujita;榎園 誠;MATSUMOTO YUYA
在特征上，K3曲面的辛自同构（即，保持整体形式的自同构）和非辛的行为不同。在本文中，我们考虑的行动组计划的K3表面（可能与有理双点[RDP]奇点）的特征p，其中n可以被p整除。我们引入的概念，这种行动的辛，我们表明，辛行动有类似的性质，如可能的订单，固定轨迹，和同分异构体，辛自同构n阶的特征。我们还研究了对RDP的局部作用。
In characteristic , symplectic automorphisms of K3 surfaces (i.e., automorphisms preserving the global -form) and non-symplectic ones behave differently. In this paper, we consider the actions of the group schemes on K3 surfaces (possibly with rational double point [RDP] singularities) in characteristic p, where n may be divisible by p. We introduce the notion of symplecticness of such actions, and we show that symplectic -actions have similar properties, such as possible orders, fixed loci, and quotients, to symplectic automorphisms of order n in characteristic . We also study local -actions on RDPs.