학술논문

Chudnovsky's conjecture and the stable Harbourne--Huneke containment.
Document Type
Article
Source
Transactions of the American Mathematical Society, Series B. 2022, p371-394. 24p.
Subject
*SOFT power (Social sciences)
*LOGICAL prediction
*POWER (Social sciences)
*PROJECTIVE spaces
Language
ISSN
2330-0000
Abstract
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. [ABSTRACT FROM AUTHOR]