Kavli Affiliate: Yi Zhou
| First 5 Authors: Yi Zhou, Mark van Hoeij, , ,
| Summary:
Linear recurrence operators in characteristic $p$ are classified by their
$p$-curvature. For a recurrence operator $L$, denote by $chi(L)$ the
characteristic polynomial of its $p$-curvature. We can obtain information about
the factorization of $L$ by factoring $chi(L)$. The main theorem of this paper
gives an unexpected relation between $chi(L)$ and the true singularities of
$L$. An application is to speed up a fast algorithm for computing $chi(L)$ by
desingularizing $L$ first. Another contribution of this paper is faster
desingularization.
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