Existence of nontrivial logarithmic co-Higgs structure on curves
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2017
- DOI:
- 10.48550/arXiv.1703.04475
- arXiv:
- arXiv:1703.04475
- Bibcode:
- 2017arXiv170304475B
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14H60;
- 14D20;
- 14J60;
- 53D18
- E-Print:
- 22 pages