μ_{p}- and α_{p}-actions on K3 surfaces in characteristic p
μ_{p}- and α_{p}-actions on K3 surfaces in characteristic p
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特征 p 中 K3 表面上的 μ_{p}- 和 α_{p}- 作用
DOI：
10.1090/jag/804
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发表时间：
2022
影响因子：
1.8
通讯作者：
Matsumoto Yuya
中科院分区：
文献类型：
--
作者：
Hoshi Yuichiro;Minamide Arata;Mochizuki Shinichi;Naoki Fujita;大下達也;Matsumoto Yuya
我们在特征上研究了RDPK3曲面（允许有理双点（RDP）奇点的K3曲面）上的双与作用。我们研究可能的特征，商曲面，商奇点。事实证明，-和-作用的这些性质分别类似于-作用（对于素数）和-作用的性质。我们还表明，相反的RDP K3表面与一定的配置的奇点承认一个或或覆盖的“K3样”的表面，这往往是一个RDP K3表面，但并不总是，在典型的覆盖的情况下的恩里克斯表面的特征。
We consider-and-actions on RDP K3 surfaces (K3 surfaces with rational double point (RDP) singularities allowed) in characteristic. We study possible characteristics, quotient surfaces, and quotient singularities. It turns out that these properties of-and-actions are analogous to those of-actions (for primes) and-quotients respectively. We also show that conversely an RDP K3 surface with a certain configuration of singularities admits a-or-or-covering by a “K3-like” surface, which is often an RDP K3 surface but not always, as in the case of the canonical coverings of Enriques surfaces in characteristic.