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Hermitian-Einstein Metrics on Parabolic Bundles over compact complex surfaces

Differential Geometry 2025-06-19 v1

Abstract

We prove the Kobayashi-Hitchin correspondence for parabolic bundles over compact nonK\"{a}hler surfaces with simple normal crossing divisor or compact nonK\"{a}hler manifolds of any dimension with smooth divisor.

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Cite

@article{arxiv.2506.15458,
  title  = {Hermitian-Einstein Metrics on Parabolic Bundles over compact complex surfaces},
  author = {Xilun Li and Gang Tian},
  journal= {arXiv preprint arXiv:2506.15458},
  year   = {2025}
}

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R2 v1 2026-07-01T03:23:37.307Z