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<p>We prove the smoothness of the moduli space of stable parabolic torsion free sheaves over a smooth complex projective algebraic surface under certain conditions. We also prove the smoothness of the fixed determinant moduli space of parabolic vector bundles under the same conditions and compute its tangent space dimension.</p>

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Smoothness of the moduli of parabolic bundles on surfaces

  • 期刊论文

  • 发表日期：

    2026年2月3日

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  • Arijit Dey,
  • R. Parthasarathi

摘要

We prove the smoothness of the moduli space of stable parabolic torsion free sheaves over a smooth complex projective algebraic surface under certain conditions. We also prove the smoothness of the fixed determinant moduli space of parabolic vector bundles under the same conditions and compute its tangent space dimension.