Demailly's Conjecture and the Containment Problem

Autor:	Bisui, Sankhaneel, Grifo, Eloísa, Hà, Huy Tài, Nguyên, Thái Thành
Rok vydání:	2020
Předmět:	Mathematics - Commutative Algebra Mathematics - Algebraic Geometry
Druh dokumentu:	Working Paper
Popis:	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. Comment: v3 changes: improved the containments shown for ideals of minors of generic matrices, minors of generic symmetric matrices, and pfaffians of generic skew symmetric matrices
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2009.05022 Zobrazit plný text záznamu View this record from Arxiv