Existence of nontrivial logarithmic co-Higgs structure on curves
Algebraic Geometry
2017-03-14 v1
Abstract
We study various aspects on nontrivial logarithmic co-Higgs structure associated to unstable bundles on algebraic curves. We check several criteria for (non-)existence of nontrivial logarithmic co-Higgs structures and describe their parameter spaces. We also investigate the Segre invariants of these structures and see their non-simplicity. In the end we also study the higher dimensional case, specially when the tangent bundle is not semistable.
Keywords
Cite
@article{arxiv.1703.04475,
title = {Existence of nontrivial logarithmic co-Higgs structure on curves},
author = {Edoardo Ballico and Sukmoon Huh},
journal= {arXiv preprint arXiv:1703.04475},
year = {2017}
}
Comments
22 pages; Comments welcome