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

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• 作者：Andrá ; s C. Lőrincz^a ; ^{alorincz@purdue.edu} ; Claudiu Raicu^b ; ^c ; ^{craicu@nd.edu} ; Uli Walther^a ; ^{walther@math.purdue.edu} ; Jerzy Weyman^d ; ^{jerzy.weyman@uconn.edu}
• 关键词：13D45 ; 14F10 ; 14M12 ; 32C38 ; 32S40
• 刊名：Advances in Mathematics
• 出版年：2017
• 出版时间：5 February 2017
• 年：2017
• 卷：307
• 期：Complete
• 页码：224-252
• 全文大小：545 K
• 卷排序：307

文摘

We determine the Bernstein–Sato polynomials for the ideal of maximal minors of a generic m×nm×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.