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Compactification of parabolic Hermitian--Einstein moduli spaces on complex surfaces
Abstract
Let X̅ be a compact complex surface with a Gauduchon metric, and let D⊂X̅ be a smooth connected divisor. We construct an Uhlenbeck compactification of the moduli space of rank-two parabolic Hermitian--Einstein connections with prescribed holomorphic determinant.
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BibTeX
@misc{li2026compactification,
title = {{Compactification of parabolic Hermitian--Einstein moduli spaces on complex surfaces}},
author = {Xilun Li and Gang Tian},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.38958},
eprint = {2610.38958},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.38958},
}
RIS
TY - UNPB
TI - Compactification of parabolic Hermitian--Einstein moduli spaces on complex surfaces
AU - Xilun Li
AU - Gang Tian
PY - 2026
DA - 2026/10/28
PB - arXiv
DO - 10.48550/arxiv.2610.38958
UR - https://arxiv.org/abs/2610.38958
AB - Let X̅ be a compact complex surface with a Gauduchon metric, and let D⊂X̅ be a smooth connected divisor. We construct an Uhlenbeck compactification of the moduli space of rank-two parabolic Hermitian--Einstein connections with prescribed holomorphic determinant.
ER -