Toric co-Higgs bundles on toric varieties
Algebraic Geometry
2021-04-13 v2 Differential Geometry
Abstract
Starting from the data of a nonsingular complex projective toric variety, we define an associated notion of toric co-Higgs bundle. We provide a Lie-theoretic classification of these objects by studying the interaction between Klyachko's fan filtration and the fiber of the co-Higgs bundle at a closed point in the open orbit of the torus action. This can be interpreted, under certain conditions, as the construction of a coarse moduli scheme of toric co-Higgs bundles of any rank and with any total equivariant Chern class.
Cite
@article{arxiv.2004.00730,
title = {Toric co-Higgs bundles on toric varieties},
author = {Indranil Biswas and Arijit Dey and Mainak Poddar and Steven Rayan},
journal= {arXiv preprint arXiv:2004.00730},
year = {2021}
}
Comments
11 pages, to appear in Illinois J. Math