THE MINIMAL FREE RESOLUTION OF CERTAIN DETERMINANTAL IDEA

Title & Authors
THE MINIMAL FREE RESOLUTION OF CERTAIN DETERMINANTAL IDEA
CHOI, EUN-J.; KIM, YOUNG-H.; KO, HYOUNG-J.; WON, SEOUNG-J.;

Abstract
Let $\small{S\;=\;R[\chi_{ij}\mid1\;{\le}\;i\;{\le}\;m,\;1\;{\le}\;j\;{\le}\;n]}$ be the polynomial ring over a noetherian commutative ring R and $\small{I_p}$ be the determinantal ideal generated by the $\small{p\;\times\;p}$ minors of the generic matrix $\small{(\chi_{ij})(1{\le}P{\le}min(m,n))}$. We describe a minimal free resolution of $\small{S/I_{p}}$, in the case m = n = p + 2 over $\small{\mathbb{Z}}$.
Keywords
determinantal ideal;minimal free resolution;
Language
English
Cited by
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