Demailly's Conjecture for general and very general points

2024/09/13 by Sankhaneel Bisui, Bisui, Sankhaneel, Dipendranath Mahato +1
Mathematics · #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #FOS: Mathematics #Mathematics and Applications

paper · pdf · doi:10.48550/arxiv.2409.08535

openalex publication_date 2024/09/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that at least ( \dfrac(1+ε)2mN-1+1+ε)^N, where 0\leqslant ε<1, many general points, satisfy Demailly's conjecture. Previously, it was known to be true for at least (2m+2)^N many general points in arxiv.org/abs/2009.05022. We also study Demailly's conjecture for m=3 for ideal defining general and very general points.

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