Demailly's Conjecture and the Containment Problem

Sankhaneel Bisui; Eloísa Grifo; Huy Tài Hà; Thái Thành Nguyên

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arXiv · 2009.05022

Demailly's Conjecture and the Containment Problem

Sankhaneel Bisui·Eloísa Grifo·Huy Tài Hà·Thái Thành Nguyên

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Abstract

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 spaces. 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 that containment holds for generic determinantal ideals and defining ideals of star configurations.

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Sankhaneel Bisui, Eloísa Grifo, Huy Tài Hà, Thái Thành Nguyên. 2020-09-10. Demailly's Conjecture and the Containment Problem. https://arxiv.org/abs/2009.05022

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