Restricting Semistable Bundles on the Projective Plane to Conics
Algebraic Geometry
2007-05-23 v2
Abstract
We study the restrictions of rank 2 semistable vector bundles E on P^2 to conics. A Grauert-Mulich type theorem on the generic splitting is proven. The jumping conics are shown to have the scheme structure of a hypersurface J_{2} in P^5 of degree c_{2}(E) when c_{1}(E)=0 and of degree c_{2}(E)-1 when c_{1}(E)=-1. Some examples of jumping conics and jumping lines are studied in detail.
Cite
@article{arxiv.math/0310076,
title = {Restricting Semistable Bundles on the Projective Plane to Conics},
author = {Al Vitter},
journal= {arXiv preprint arXiv:math/0310076},
year = {2007}
}
Comments
21 pages,AMSLaTeX Exposition improved, important reference added, minor errors corrected