Symmetric differentials and the dimension of Hitchin components for orbi-curves
Algebraic Geometry
2019-11-27 v1 Differential Geometry
Abstract
This note is based on a talk given at the 2019 ISAAC Congress in Aveiro, Portugal. We give an expository account of joint work with Daniele Alessandrini and Gye-Seon Lee on Hitchin components for orbifold groups (arXiv:1811.05366), recasting part of it in the language of analytic orbi-curves. This reduces the computation of the dimension of the Hitchin component for orbifold groups to an application of the orbifold Riemann-Roch theorem.
Keywords
Cite
@article{arxiv.1911.11370,
title = {Symmetric differentials and the dimension of Hitchin components for orbi-curves},
author = {Florent Schaffhauser},
journal= {arXiv preprint arXiv:1911.11370},
year = {2019}
}
Comments
To appear in Proceedings of the 2019 ISAAC Congress (Special Session on Complex Geometry), 8 pages