Isomorphisms between moduli of parabolic Higgs bundles

2016/12/28 by Nathan Clement, Clement, Nathan
Mathematics · #14H60 #14H70 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.1612.09010

openalex publication_date 2016/12/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study four families of moduli problems which give rise to two dimensional examples of the Hitchin map. Using a few Fourier-Mukai transforms on the corresponding spectral curves, we give isomorphisms between these moduli problems.

Citations

• Vector Bundles Over an Elliptic Curve

Related

• Parabolic Hitchin Maps and Their Generic Fibers
• Relative spectral correspondence for parabolic Higgs bundles and Deligne--Simpson problem
• Variation of moduli of parabolic Higgs bundles
• Projective Moduli for Hitchin Pairs
• Hitchin fibration under ramified coverings