2022/02/17 by Yi Zhou, Mark van Hoeij, Zhou, Yi +1
Computer Science · Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #FOS: Computer and information sciences #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons #Symbolic Computation (cs.SC) #cs.SC
paper · pdf · doi:10.48550/arxiv.2202.08931
7 pages
arxiv created 2022/02/17 · openalex publication_date 2022/02/17 · arxiv updated 2022/02/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.