紧致Kähler簇上的容许度量
代数几何
2022-08-19 v2 微分几何
摘要
设 为正规紧致Kähler簇， 为 上的凝聚自反层。我们研究 上容许Hermitian度量的存在性。若进一步 为斜率稳定的，我们还研究其上容许Hermitian-Yang-Mills度量的存在性。若能证明奇异空间上一致的Sobolev不等式，则存在性成立。
引用
@article{arxiv.2201.04821,
title = {Admissible metrics on compact K\"ahler varieties},
author = {Wenhao Ou},
journal= {arXiv preprint arXiv:2201.04821},
year = {2022}
}
备注
The proof of uniform Sobolev inequality in the first version contains a serious gap. We could not fix it, and propose it as a conjecture in the new version. Therefore, the proof on the existence of HYM metrics in the first version is not complete