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arxiv: 1601.06688 · v1 · pith:D7VJSIDJnew · submitted 2016-01-25 · 🧮 math.AG · math.AC

Bernstein-Sato polynomials for maximal minors and sub-maximal Pfaffians

Andr\'as C. L\H{o}rincz , Claudiu Raicu , Uli Walther , Jerzy Weyman This is my paper
classification 🧮 math.AG math.AC
keywords bernstein-satogenericmatrixmaximalminorspfaffianspolynomialssub-maximal
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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.

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