Semistable principal Higgs bundles

Details Semistable principal Higgs bundles Semistable principal Higgs bundles

2008-09-23

arxiv.org/abs/0809.3936v2

Mathematics

Algebraic Geometry

14 pages. v2: typos corrected, minor additions

Scientific paper

We give a Miyaoka-type semistability criterion for principal Higgs G-bundles E on complex projective manifolds of any dimension, i.e., we prove that E is semistable and the second Chern class of its adjoint bundle vanishes if and only if certain line bundles, obtained from the characters of the parabolic subgroups of G, are numerically effective. We also give alternative characterizations in terms of a notion of numerical effectiveness of Higgs vector bundles we have recently introduced.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-327324