Parabolic Raynaud bundles
Algebraic Geometry
2007-09-17 v1
Abstract
Let X be an irreducible smooth projective curve defined over complex numbers, S= {p_1, p_2,...,p_n} \subset X$ a finite set of closed points and N > 1 a fixed integer. For any pair (r,d) in Z X Z/N, there exists a parabolic vector bundle R_{r,d,*} on X, with parabolic structure over S and all parabolic weights in Z/N, that has the following property: Take any parabolic vector bundle E_* of rank r on X whose parabolic points are contained in S, all the parabolic weights are in Z/N and the parabolic degree is d. Then E_* is parabolic semistable if and only if there is no nonzero parabolic homomorphism from R_{r,d,*} to E_*.
Cite
@article{arxiv.0709.2261,
title = {Parabolic Raynaud bundles},
author = {Indranil Biswas and Georg Hein},
journal= {arXiv preprint arXiv:0709.2261},
year = {2007}
}