论文标题
复发操作员的降低和p展
Desingularization and p-Curvature of Recurrence Operators
论文作者
论文摘要
特征$ p $中的线性复发操作员由其$ p $ curvature分类。对于复发操作员$ l $，用$χ（l）$表示其$ p $ curvature的特征多项式。我们可以通过分解$χ（L）$来获取有关$ L $的分解的信息。本文的主要定理给出了$χ（L）$与$ L $的真实奇异性之间的意外关系。一个应用程序是通过首先将$ l $ $ l $来加快用于计算$χ（l）$的快速算法。本文的另一个贡献是更快的降落。
Linear recurrence operators in characteristic $p$ are classified by their $p$-curvature. For a recurrence operator $L$, denote by $χ(L)$ the characteristic polynomial of its $p$-curvature. We can obtain information about the factorization of $L$ by factoring $χ(L)$. The main theorem of this paper gives an unexpected relation between $χ(L)$ and the true singularities of $L$. An application is to speed up a fast algorithm for computing $χ(L)$ by desingularizing $L$ first. Another contribution of this paper is faster desingularization.
