Looking out for stable syzygy bundles

Details Looking out for stable syzygy bundles Looking out for stable syzygy bundles

2003-11-19

arxiv.org/abs/math/0311333v3

Mathematics

Algebraic Geometry

This paper contains an appendix by Georg Hein: Semistability of the general syzygy bundle. The new version is quite new

Scientific paper

We study (slope-)stability properties of syzygy bundles on a projective space P^N given by ideal generators of a homogeneous primary ideal. In particular we give a combinatorial criterion for a monomial ideal to have a semistable syzygy bundle. Restriction theorems for semistable bundles yield the same stability results on the generic complete intersection curve. From this we deduce a numerical formula for the tight closure of an ideal generated by monomials or by generic homogeneous elements in a generic two-dimensional complete intersection ring.

Affiliated with

Also associated with

No associations

Rating

Looking out for stable syzygy bundles 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 Looking out for stable syzygy bundles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Looking out for stable syzygy bundles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-191479