The Bernstein–Sato -function of the Space of Cyclic Pairs
Robin Walters
University of Chicago, USA
![The Bernstein–Sato $b$-function of the Space of Cyclic Pairs cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-prims-volume-51-issue-2.png&w=3840&q=90)
Abstract
We compute the Bernstein-Sato polynomial of , a function which given a pair in tests whether is a cyclic vector for . The proof includes a description of shift operators corresponding to the Calogero-Moser operator in the rational case.
Cite this article
Robin Walters, The Bernstein–Sato -function of the Space of Cyclic Pairs. Publ. Res. Inst. Math. Sci. 51 (2015), no. 2, pp. 273–288
DOI 10.4171/PRIMS/155