2021/12/16 by Roberto Fringuelli, Fringuelli, Roberto
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.2112.08750
openalex publication_date 2021/12/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
For any almost-simple group G over an algebraically closed field k of characteristic zero, we describe the automorphism group of the moduli space of semistable G-bundles over a connected smooth projective curve C of genus at least 4. The result is achieved by studying the singular fibers of the Hitchin fibration. As a byproduct, we provide a description of the irreducible components of two natural closed subsets in the Hitchin basis: the divisor of singular cameral curves and the divisor of singular Hitchin fibers.