多稳态正交与辛抛物Higgs丛上的Hermite-Einstein联络
微分几何
2012-05-10 v1 代数几何
摘要
设X为光滑复射影曲线，S为X的有限子集。我们证明，X上在S上具有抛物结构的正交或辛抛物Higgs丛，当且仅当其为多稳态时，才容许Hermite-Einstein联络。
引用
@article{arxiv.1202.1765,
title = {Hermitian-Einstein connections on polystable orthogonal and symplectic parabolic Higgs bundles},
author = {Indranil Biswas and Matthias Stemmler},
journal= {arXiv preprint arXiv:1202.1765},
year = {2012}
}
备注
12 pages, Journal of Geometry and Physics (to appear)