Demailly's Conjecture and the containment problem
Demailly's Conjecture and the containment problem
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德迈利猜想和遏制问题
DOI：
10.1016/j.jpaa.2021.106863
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发表时间：
2022
影响因子：
0.8
通讯作者：
Nguyễn, Thái Thành
中科院分区：
文献类型：
--
作者：
Bisui, Sankhaneel;Grifo, Eloísa;Hà, Huy Tài;Nguyễn, Thái Thành
我们研究Demailly猜想的一般集合的足够多的点。Demailly猜想是Chudnovsky猜想的推广，它给出了射影空间中一组点的Waldscherk常数的下界。我们还研究了一个包容的象征性和普通的权力之间的关系，特别是暗示德梅利的约束，并证明了一般版本的包容性持有的一般行列式理想和定义理想的星星配置。
We investigate Demailly's Conjecture for a general set of sufficiently many points. Demailly's Conjecture generalizes Chudnovsky's Conjecture in providing a lower bound for the Waldschmidt constant of a set of points in projective space. We also study a containment between symbolic and ordinary powers conjectured by Harbourne and Huneke that in particular implies Demailly's bound, and prove that a general version of this containment holds for generic determinantal ideals and defining ideals of star configurations.