On Stable Bundles of Ranks 2 and 3 on P^3

Details On Stable Bundles of Ranks 2 and 3 on P^3 On Stable Bundles of Ranks 2 and 3 on P^3

2003-10-06

arxiv.org/abs/math/0310073v1

Mathematics

Algebraic Geometry

35 pages,AMSLaTeX

Scientific paper

We study rank 3 stable bundles E on P^3 as extensions of a line bundle B on a smooth surface S in P^3 by the direct sum of three copies of O_{P^3}(-\nu). In most cases, S (the dependency locus of three sections of E(\nu)) lies in the Noether-Lefschetz locus. We give a detailed analysis when S contains a line L and B is constructed from divisors of the form aL+bC for H=L+C a hyperplane section of S. We study the parameter space of this construction and compare it to the full (Gieseker-Maruyama) moduli space. We also analyse the case when B is a power of the hyperplane bundle. The same approach is used to study rank 2 bundles on P^3.

Affiliated with

Also associated with

No associations

Rating

On Stable Bundles of Ranks 2 and 3 on P^3 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 On Stable Bundles of Ranks 2 and 3 on P^3, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Stable Bundles of Ranks 2 and 3 on P^3 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-344930