Brauer group of moduli of stable parabolic $\text{SL}(r,\mathbb{C})$ and $\text{PGL}(r,\mathbb{C})$-connections and Higgs bundles over a curve

Pavan Adroja; Sujoy Chakraborty

doi:10.48550/arxiv.2603.02608

Brauer group of moduli of stable parabolic $\text{SL}(r,\mathbb{C})$ and $\text{PGL}(r,\mathbb{C})$-connections and Higgs bundles over a curve

arXiv (Cornell University) 2026 Preprint Open access

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Authors: Pavan Adroja, Sujoy Chakraborty

DOI: 10.48550/arxiv.2603.02608

Cited by: 0

References: 1

Abstract

Let $X$ be a compact Riemann surface of genus at least $3$. We compute the Brauer groups of the moduli spaces of stable parabolic $\text{SL}(r,\mathbb{C})$-connections and stable strongly parabolic $\text{SL}(r,\mathbb{C})$-Higgs bundles over $X$. We also establish an equality of the Brauer group of the moduli stack of stable parabolic $\text{PGL}(r,\mathbb{C})$-connections and the smooth locus of its coarse moduli space.

Fields of Study & Subjects

Algebraic Geometry and Number Theory Advanced Algebra and Geometry Algebraic structures and combinatorial models

Publication details

Journal / source: arXiv (Cornell University)
Publication date: 3 March 2026
Language: EN
Document type: Preprint

References 1