The stringy E-function of the moduli space of Higgs bundles with trivial determinant

2005/07/01 by Young‐Hoon Kiem, Young-Hoon Kiem, Kiem, Young-Hoon +3
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Black Holes and Theoretical Physics #FOS: Mathematics #math.AG

paper · pdf · doi:10.48550/arxiv.math/0507007

27 pages

arxiv created 2005/07/01 · openalex publication_date 2005/07/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let M be the moduli space of semistable rank 2 Higgs pairs (V,ϕ) with trivial determinant over a smooth projective curve X of genus g>1. We compute the stringy E-function of M and prove that there does not exist a symplectic desingularization of M for g>2.

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