Shapes of free resolutions over a local ring

Details Shapes of free resolutions over a local ring Shapes of free resolutions over a local ring

2011-05-11

arxiv.org/abs/1105.2244v2

Mathematics

Commutative Algebra

14 pages, 1 figure; v2: sections have been reorganized substantially and exposition has been streamlined

Scientific paper

We classify the possible shapes of minimal free resolutions over a regular local ring. This illustrates the existence of free resolutions whose Betti numbers behave in surprisingly pathological ways. We also give an asymptotic characterization of the possible shapes of minimal free resolutions over hypersurface rings. Our key new technique uses asymptotic arguments to study formal Q-Betti sequences.

Affiliated with

Also associated with

No associations

Rating

Shapes of free resolutions over a local ring 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 Shapes of free resolutions over a local ring, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Shapes of free resolutions over a local ring will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-612021