2003/11/07 by Mridul Mehta, Mehta, Mridul
Mathematics · #14D20 #14E05 #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #math.AG #msc:14D20 #msc:14E05
paper · pdf · doi:10.48550/arxiv.math/0311122
20 pages, same as before, with a correction in the references
openalex publication_date 2003/11/07 · arxiv created 2003/11/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper, we study triples of the form (E, theta, phi) over a compact Riemann Surface, where (E, theta) is a Higgs bundle and phi is a global holomorphic section of the Higgs bundle. Our main result is a description of a birational equivalence which relates geometrically the moduli space of Higgs bundles of rank r and degree d to the moduli space of Higgs bundles of rank (r-1) and degree d.