On the analytic spread and the reduction number of the ideal of maximal minors

dc.creatorMiyazaki, Mitsuhiro
dc.date2005-02-05
dc.date.accessioned2026-07-07T05:16:43Z
dc.date.available2026-07-07T05:16:43Z
dc.descriptionLet $m$, $n$, $a_1$, ..., $a_r$, $b_1$, ..., $b_r$ be integers with $1\leq a_1<...<a_r\leq m$ and $1\leq b_1<...<b_r\leq n$. And let $x$ be the universal $m\times n$ matrix with the property that $i$-minors of first $a_i-1$ rows and first $b_i-1$ columns are all zero, for $i=1$, ..., $r+1$ ($a_{r+1}=m+1$ and $b_{r+1}=n+1$). For an integer $u$ with $1\leq u\leq m$, we denote by $U$ the $u\times n$ matrix consisting of the first $u$ rows of $x$. In this paper, we consider the analytic spread and the reduction number of the ideal of maximal minors of $U$
dc.identifierhttps://arxiv.org/abs/math/0502110
dc.identifierhttp://arxiv.org/abs/math/0502110
dc.identifierBulletin of Kyoto University of Education 103, 103-109 (2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74091
dc.subjectCommutative Algebra
dc.subject13F50; 13A30; 13C40
dc.titleOn the analytic spread and the reduction number of the ideal of maximal minors
dc.typetext

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