论文标题
nilpotent Higgs捆绑包和Calabi-yau Moduli上的Hodge指标
Nilpotent Higgs bundles and the Hodge metric on the Calabi-Yau moduli
论文作者
论文摘要
我们研究了用于nilpotent矩阵的代数不平等，并显示了一些有趣的几何应用：（i）在紧凑的riemann表面上获得Nilpotent polystable Higgs捆绑的拓扑信息； （ii）获得周期结构域的圆形截面曲率的尖锐上限和卡拉比YAU模量上的霍奇度量。
We study an algebraic inequality for nilpotent matrices and show some interesting geometric applications: (i) obtaining topological information for nilpotent polystable Higgs bundles over a compact Riemann surface; (ii) obtaining a sharp upper bound of the holomorphic sectional curvatures of the period domain and the Hodge metric on the Calabi-Yau moduli.
