Free resolutions over short Gorenstein local rings

Details Free resolutions over short Gorenstein local rings Free resolutions over short Gorenstein local rings

2009-04-22

arxiv.org/abs/0904.3510v2

Mathematics

Commutative Algebra

19 pages; new title, minor changes and extended bibliography

Scientific paper

Let R be a local ring with maximal ideal m admitting a non-zero element a\in\fm for which the ideal (0:a) is isomorphic to R/aR. We study minimal free resolutions of finitely generated R-modules M, with particular attention to the case when m^4=0. Let e denote the minimal number of generators of m. If R is Gorenstein with m^4=0 and e\ge 3, we show that \Poi MRt is rational with denominator \HH R{-t} =1-et+et^2-t^3, for each finitely generated R-module M. In particular, this conclusion applies to generic Gorenstein algebras of socle degree 3.

Affiliated with

Also associated with

No associations

Rating

Free resolutions over short Gorenstein local rings does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Free resolutions over short Gorenstein local rings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Free resolutions over short Gorenstein local rings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-275504