Gorenstein Modules of Finite Length

Details Gorenstein Modules of Finite Length Gorenstein Modules of Finite Length

2008-07-18

arxiv.org/abs/0807.2956v1

Mathematics

Commutative Algebra

22 pages

Scientific paper

In Commutative Algebra structure results on minimal free resolutions of Gorenstein modules are of classical interest. We define Gorenstein modules of finite length over the weighted polynomial ring via symmetric matrices in divided powers. We show that their graded minimal free resolution is selfdual in a strong sense. Applications include a proof of the dependence of the monoid of Betti tables of Cohen-Macaulay modules on the characteristic of the base field. Moreover we give a new proof of the failure of the generalization of Green's Conjecture to characteristic 2 in the case of general curves of genus $2^n -1$.

Affiliated with

Also associated with

No associations

Rating

Gorenstein Modules of Finite Length 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 Gorenstein Modules of Finite Length, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gorenstein Modules of Finite Length will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-388380