Compactification of Dolbeault moduli spaces
Algebraic Geometry
2020-03-12 v2
Abstract
We construct a relative compactification of Dolbeault moduli spaces of Higgs bundles for reductive algebraic groups on families of projective manifolds that is compatible with the Hitchin morphism.
Keywords
Cite
@article{arxiv.1812.07086,
title = {Compactification of Dolbeault moduli spaces},
author = {Mark Andrea A. de Cataldo},
journal= {arXiv preprint arXiv:1812.07086},
year = {2020}
}
Comments
22 pages. Comments are welcome. I thank the anonymous referees for their suggestions, especially in connection with their constructive criticism of the original proof of Theorem 3.1.1.(1,2) (projectivity of the compactification), which contained a gap, now fixed. To appear in IMRN