Complete intersections in rational homotopy theory

被引：5
|
作者：
Greenlees, J. P. C. [1 ]
Hess, K. [2 ]
Shamir, S. [3 ]
机构：
[1] Sch Math & Stat, Sheffield S3 7RH, S Yorkshire, England
[2] Ecole Polytech Fed Lausanne, CH-1015 Lausanne, Switzerland
[3] Univ Bergen, Dept Math, N-5008 Bergen, Norway
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2013年 / 217卷 / 04期
基金：
英国工程与自然科学研究理事会;
关键词：
HOMOLOGICAL ALGEBRA;
D O I：
10.1016/j.jpaa.2012.08.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate various homotopy invariant formulations of commutative algebra in the context of rational homotopy theory. The main subject is the complete intersection condition, where we show that a growth condition implies a structure theorem and that modules have multiply periodic resolutions. (C) 2012 Published by Elsevier B.V.
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页码：636 / 663
页数：28
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