多项式扩展中理想的投影生成

Pub Date : 2020-09-01 DOI:10.1216/jca.2020.12.333

M. Keshari, Md. Ali Zinna

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引用次数: 0

摘要

设R为特征为0的域上一个n≥3维的仿射域。设L是秩为1的投影R[T]模，I∧R[T]是高度为n的局部完全交理想。设I/I是L⊕R[T]n−1的满射像。本文研究了在什么条件下I是排位为n且行列式为L的射影R[T]-模P的满像。

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Projective generation of ideals in polynomial extensions

Let R be an affine domain of dimension n ≥ 3 over a field of characteristic 0. Let L be a projective R[T ]-module of rank 1 and I ⊂ R[T ] a local complete intersection ideal of height n. Assume that I/I is a surjective image of L⊕R[T ]n−1. This paper examines under what conditions I is a surjective image of a projective R[T ]-module P of rank n with determinant L.

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