几何流、乘子理想层与Fano流形的最优失稳子
微分几何
2020-01-22 v3 复变函数
摘要
S. K. Donaldson曾提问：Calabi泛函的下界是否由一列归一化Donaldson-Futaki不变量达到。我们以Ricci曲率形式取代数量曲率，回答了该问题。其原理是：稳定性指标由渐近于几何流的某弱测地射线之乘子理想层优化。我们实际在两情形下证明了此结论：逆Monge-Ampere流与Kahler-Ricci流。
引用
@article{arxiv.1901.08480,
title = {Geometric flow, Multiplier ideal sheaves and Optimal destabilizer for a Fano manifold},
author = {Tomoyuki Hisamoto},
journal= {arXiv preprint arXiv:1901.08480},
year = {2020}
}
备注
We modified the proof of the main theorem using monotonicity of the K-energy along the inverse Monge-Amp\'ere flow