论文标题
特征p> 0的$μ_p$的$μ_p$
Actions of $μ_p$ on canonically polarized surfaces in characteristic p>0
论文作者
论文摘要
本文研究了在特征p> 0的代数闭合场上定义的规范极化的表面X上的非微不足道$μ_p$动作的存在。特别是，获得了明确的函数$ f（k_x^2）$，如果$ p> f（k_x^2）$，那么x上就不存在非琐碎的$μ_p$ - action。这意味着，X的X and the自动形态方案的连接组件是由$ ablesions $ ablesions $ age $ a_p $α_p取得了X的X。
This paper studies the existence of non trivial $μ_p$ actions on a canonically polarized surface X defined over an algebraically closed field of characteristic p>0. In particular, an explicit function $f(K_X^2)$ is obtained such that if $p>f(K_X^2)$, then there does not exist a non trivial $μ_p$-action on X. This implies that the connected component of the automorphism scheme of X containing the identity is either smooth or is obtained by successive extensions by $α_p$.
