Logarithmic co-Higgs bundles
Abstract
In this article we introduce a notion of logarithmic co-Higgs sheaves associated to a simple normal crossing divisor on a projective manifold, and show their existence with nilpotent co-Higgs fields for fixed ranks and second Chern classes. Then we deal with various moduli problems with logarithmic co-Higgs sheaves involved, such as coherent systems and holomorphic triples, specially over algebraic curves of low genus.
- Publication:
-
arXiv e-prints
- Pub Date:
- September 2016
- DOI:
- 10.48550/arXiv.1609.03733
- arXiv:
- arXiv:1609.03733
- Bibcode:
- 2016arXiv160903733B
- Keywords:
-
- Mathematics - Algebraic Geometry;
- 14J60;
- 14D20;
- 53D18
- E-Print:
- 18 pages