Module structure of an injective resolution
Commutative Algebra
2007-05-23 v3
Abstract
Let A be the ring obtained by localizing the polynomial ring k[X,Y,Z,W] over a field k at the maximal ideal (X,Y,Z,W) and modulo the ideal (XW-YZ). Let p be the ideal of A generated by X and Y. We study the module structure of a minimal injective resolution of A/p in details using local cohomology. Applications include the description of Ext^i(M,A/p), where M is a module constructed by Dutta, Hochster and McLaughlin, and the Yoneda product of Ext^*(A/p,A/p).
Cite
@article{arxiv.math/0406311,
title = {Module structure of an injective resolution},
author = {C-Y. Jean Chan and I-Chiau Huang},
journal= {arXiv preprint arXiv:math/0406311},
year = {2007}
}
Comments
Subsection 5.3 revised with a corrected description of Yoneda algebra