Hitchin maps and parabolic Hitchin maps on the moduli spaces of Hitchin sheaves on nodal curves
Abstract
We study the Hitchin maps on the moduli spaces of Hitchin sheaves and parabolic Hitchin sheaves on a nodal integral curve [Formula: see text]. We study their fibers, the BNR correspondences and the relation of the restriction of the Hitchin map with very stable bundles. As an application, in the “coprime” case we prove that the parabolic Poincaré sheaf on [Formula: see text] is parabolic stable where [Formula: see text] is a fixed determinant moduli space of parabolic sheaves on [Formula: see text].
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Algebraic structures and combinatorial models
Advanced Algebra and Geometry
Publication details
- Journal / source
- International Journal of Mathematics
- Volume
- 37
- Issue
- 04
- Publication date
- 30 January 2026
- Language
- EN