Bernstein-Sato polynomials for maximal minors and sub-maximal Pfaffians
Algebraic Geometry
2017-08-15 v1 Commutative Algebra
Abstract
We determine the Bernstein-Sato polynomials for the ideal of maximal minors of a generic m x n matrix, as well as for that of sub-maximal Pfaffians of a generic skew-symmetric matrix of odd size. As a corollary, we obtain that the Strong Monodromy Conjecture holds in these two cases.
Keywords
Cite
@article{arxiv.1601.06688,
title = {Bernstein-Sato polynomials for maximal minors and sub-maximal Pfaffians},
author = {András C. Lőrincz and Claudiu Raicu and Uli Walther and Jerzy Weyman},
journal= {arXiv preprint arXiv:1601.06688},
year = {2017}
}