Stability of syzygy bundles

Details Stability of syzygy bundles Stability of syzygy bundles

2010-08-16

arxiv.org/abs/1008.2733v1

Mathematics

Algebraic Geometry

16 pages, to appear in the Proceedings of the American Mathematical Society

Scientific paper

We show that given integers $N$, $d$ and $n$ such that ${N\ge2}$, ${(N,d,n)\ne(2,2,5)}$, and ${N+1\le n\le\tbinom{d+N}{N}}$, there is a family of $n$ monomials in $K[X_0,\ldots,X_N]$ of degree $d$ such that their syzygy bundle is stable. Case ${N\ge3}$ was obtained independently by Coand\v{a} with a different choice of families of monomials [Coa09]. For ${(N,d,n)=(2,2,5)}$, there are $5$ monomials of degree~$2$ in $K[X_0,X_1,X_2]$ such that their syzygy bundle is semistable.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-178327