论文标题
Frobenius稳定的多个元素稳定的多个类型的阳性特征
Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic
论文作者
论文摘要
本文旨在调查多元系统在阳性特征中的一般类型的效果问题上。实际上，我们将考虑一个子线性系统$ | s^0 _ { - }（x，k_x + nk_x）| \ subseteq | h^0（x，x，k_x + nk_x）| $由某些Frobenius稳定部分生成，并证明，对于最小终端的三倍$ x $，带有$ q（x）> 0 $或gorenstein singularities的三倍$ x $，如果$ q（x）> 0 $或gorenstein singularities，则是$ n \ geq 28 $，然后如果\ neq \ emptyset $;如果$ n \ geq 42 $，则线性系统$ | s^0 _ { - }（x，k_x + nk_x）| $定义了一个Birational Map。
This paper aims to investigate effectivity problems of pluricanonical systems on varieties of general type in positive characteristic. In practice, we will consider a sub-linear system $|S^0_{-}(X, K_X + nK_X)| \subseteq |H^0(X, K_X +nK_X)|$ generated by certain Frobenius stable sections, and prove that for a minimal terminal threefold $X$ of general type with either $q(X)>0$ or Gorenstein singularities, if $n\geq 28$ then $|S^0_{-}(X, K_X + nK_X)| \neq \emptyset$; if $n\geq 42$ then the linear system $|S^0_{-}(X, K_X + nK_X)|$ defines a birational map.
