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arXiv · 1403.0633

The Bernstein-Sato b-Function of the Space of Cyclic Pairs

Robin Walters
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Abstract

We compute the Bernstein-Sato polynomial of $f$, a function which given a pair $(M,v)$ in $X = M_n(\mathbf{C}) \times \mathbf{C}^n$ tests whether $v$ is a cyclic vector for $M$. The proof includes a description of shift operators corresponding to the Calogero-Moser operator $L_k$ in the rational case.

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Robin Walters. 2014-03-03. The Bernstein-Sato b-Function of the Space of Cyclic Pairs. https://arxiv.org/abs/1403.0633

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