论文标题
单数标态曲线方程
Singular scalar curvature equations
论文作者
论文摘要
我们在kähler歧管上的大型和半阳性的共同体学类中,开发了具有锥角$β> 1 $的奇异指标方程的估计值。我们进一步得出了退化kähler指标标量曲率方程的拉普拉斯估计值。然后,我们对这些估计值进行了几种应用,这些估计值在奇异的恒定标态曲率kähler指标上,其中还包括奇异的Kähler-Einstein指标。
We develop estimates for the equation of scalar curvature of singular metrics with cone angle $β>1$, in a big and semi-positive cohomology class on a Kähler manifold. We further derive the Laplacian estimate for the scalar curvature equation of degenerate Kähler metrics. We then have several applications of these estimates on the singular constant scalar curvature Kähler metrics, which also include the singular Kähler-Einstein metrics.