中文

对数终端 K"ahler 三fold 的 Bogomolov-Gieseker 不等式

代数几何 2025-03-04 v4 复变函数 微分几何

摘要

本文主要关注具有对数终端奇点的三维紧 K"ahler 空间。我们建立了针对稳定 Q\mathbb Q-束的轨道化 Bogomolov-Gieseker 不等式。

关键词

引用

@article{arxiv.2405.10003,
  title  = {Bogomolov-Gieseker inequality for log terminal K\"ahler threefolds},
  author = {Henri Guenancia and Mihai Păun},
  journal= {arXiv preprint arXiv:2405.10003},
  year   = {2025}
}

备注

v4: One of the results claimed in the previous version was removed, due to a gap in the proof. The main application -Bogomolov-Gieseker inequality- is the same