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<p>Let <i>X</i> be a smooth connected complex projective curve of genus <i>g</i>, with <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(g\,\ge \, 3\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>g</mi> <mspace width="0.166667em" /> <mo>≥</mo> <mspace width="0.166667em" /> <mn>3</mn> </mrow> </math></EquationSource> </InlineEquation>. Fix an integer <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(r\ge 2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>r</mi> <mo>≥</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation>, a finite subset <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(D\, \subset \, X\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>D</mi> <mspace width="0.166667em" /> <mo>⊂</mo> <mspace width="0.166667em" /> <mi>X</mi> </mrow> </math></EquationSource> </InlineEquation>, and a line bundle <i>L</i> on <i>X</i>. We compute the Brauer group of the smooth locus of the moduli space of parabolic symplectic stable bundles of rank <i>r</i> on <i>X</i> equipped with a symplectic form taking values in <i>L</i>(<i>D</i>), where <i>L</i>(<i>D</i>) is given the trivial parabolic structure.</p>

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Brauer group of moduli of parabolic symplectic bundles

  • 期刊论文

  • 发表日期：

    2026年2月5日

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  • Indranil Biswas,
  • Sujoy Chakraborty,
  • Arijit Dey

摘要

Let X be a smooth connected complex projective curve of genus g, with \(g\,\ge \, 3\) g ≥ 3 . Fix an integer \(r\ge 2\) r ≥ 2 , a finite subset \(D\, \subset \, X\) D ⊂ X , and a line bundle L on X. We compute the Brauer group of the smooth locus of the moduli space of parabolic symplectic stable bundles of rank r on X equipped with a symplectic form taking values in L(D), where L(D) is given the trivial parabolic structure.