Compactification of Dolbeault moduli spaces
Mark Andrea A. de Cataldo
TL;DR
This paper constructs a compactification of Dolbeault moduli spaces of Higgs bundles that works uniformly over families of projective manifolds and aligns with the Hitchin fibration.
Contribution
It introduces a new relative compactification of Dolbeault moduli spaces compatible with the Hitchin morphism for reductive groups.
Findings
Provides a method for compactifying Dolbeault moduli spaces
Ensures compatibility with the Hitchin morphism
Facilitates analysis of Higgs bundles in families
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds