Module structure of an injective resolution

Details Module structure of an injective resolution Module structure of an injective resolution

2004-06-16

arxiv.org/abs/math/0406311v3

Mathematics

Commutative Algebra

Subsection 5.3 revised with a corrected description of Yoneda algebra

Scientific paper

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).

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