Parabolic Hitchin maps and their generic fibers

DOI10.1007/s00209-021-02896-3zbMath1496.14016arXiv1906.04475OpenAlexW4205716540MaRDI QIDQ2126070

Xueqing Wen, Xiaoyu Su, Bin Wang

Publication date: 14 April 2022

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04475

zbMATH Keywords

Newton polygonsglobal nilpotent conesHitchin mapsparabolic BNR correspondencestrongly parabolic Higgs bundles

Mathematics Subject Classification ID

Vector bundles on curves and their moduli (14H60) Fine and coarse moduli spaces (14D22) Sheaves in algebraic geometry (14F06)

Related Items (4)

Line bundles on the moduli space of parabolic connections over a compact Riemann surface ⋮ Monodromy of rank 2 parabolic Hitchin systems ⋮ A Hitchin connection on nonabelian theta functions for parabolic \(G\)-bundles ⋮ On parahoric Hitchin systems over curves

Cites Work

• Stable bundles and integrable systems
• Module des fibrés stables sur les courbes algébriques. Notes de l'Ecole Normale Supérieure (Paris), Printemps, 1983
• Geometric Langlands correspondence for \({\mathcal D}\)-modules in prime characteristic: the \(\mathrm{GL}(n)\) case
• The fundamental lemma for Lie algebras
• Fixed point varieties on affine flag manifolds
• Moduli of vector bundles on curves with parabolic structures
• Higgs bundles and local systems
• Un analogue global du cône nilpotent. (A global analogue of the nilpotent cone)
• Compactification of moduli of parabolic sheaves and moduli of parabolic Higgs sheaves
• The gerbe of Higgs bundles.
• The global nilpotent variety is Lagrangian.
• Richardson elements for classical Lie algebras
• Moduli of parabolic Higgs bundles and Atiyah algebroids
• Harmonic Bundles on Noncompact Curves
• Moduli Space of Semistable Pairs on a Curve
• The Self-Duality Equations on a Riemann Surface
• Spectral curves and the generalised theta divisor.
• An Infinitesimal Study of the Moduli of Hitchin Pairs
• INFINITESIMAL DEFORMATION OF PARABOLIC HIGGS SHEAVES
• The line bundles on the moduli of parabolic G-bundles over curves and their sections
• On the image of the parabolic Hitchin map
• Symplectic geometry on moduli spaces of stable pairs
• Complete Integrability of the Parahoric Hitchin System
• The Singular Fiber of the Hitchin Map
• Introduction to Plane Curve Singularities. Toric Resolution Tower and Puiseux Pairs
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Parabolic Hitchin maps and their generic fibers