论文标题
Chudnovsky的猜想和稳定的Harbourne-Huneke遏制
Chudnovsky's Conjecture and the stable Harbourne-Huneke containment
论文作者
论文摘要
在本文中，我们调查了符号和普通力量和界限之间的遏制声明，以定义投影空间中的点理想的沃尔德斯米特常数。我们建立了稳定的Harbourne猜想，以定义一组点的定义理想。我们还证明了Chudnovsky的猜想和Harbourne的稳定版本 - Huneke遏制猜想，这是一般多个点的一般集。
In this paper, we investigate containment statements between symbolic and ordinary powers and bounds on the Waldschmidt constant of defining ideals of points in projective spaces. We establish the stable Harbourne conjecture for the defining ideal of a general set of points. We also prove Chudnovsky's Conjecture and the stable version of the Harbourne--Huneke containment conjectures for a general set of sufficiently many points.
