Rees algebras and almost linearly presented ideals

被引：12

作者：

Boswell, Jacob A. ^{[1
]}

Mukundan, Vivek ^{[1
]}

机构：

[1] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

JOURNAL OF ALGEBRA | 2016年 / 460卷

关键词：

Rees algebras; Defining ideals; Saturations; Iterated Jacobian duals; Almost linearly presented ideals; Second analytic deviation one ideals; APPROXIMATION COMPLEXES; EQUATIONS; SYZYGIES;

D O I：

10.1016/j.jalgebra.2016.03.035

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Consider a grade 2 perfect ideal I in R = k[x(1), ..., x(d)] which is generated by forms of the same degree. Assume that the presentation matrix phi is almost linear, that is, all but the last column of phi consist of entries which are linear. For such ideals, we find explicit forms of the defining ideal of the Rees algebra R(I). We also introduce the notion of iterated Jacobian duals. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：102 / 127

页数：26

共 29 条

[1]

[Anonymous], 1995, GRAD TEXTS MATH

[2] COMPLETE-INTERSECTIONS AND SYMMETRIC ALGEBRAS [J].