On a conjecture of Demailly and new bounds on Waldschmidt constants in\n mathbb P^N

2017/01/17 by Grzegorz Malara, Malara, Grzegorz, Tomasz Szemberg +3
Mathematics · #14C20 13A15 13F20 32S25 #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #Complex Variables (math.CV) #FOS: Mathematics #Finite Group Theory Research #Graph theory and applications #Limits and Structures in Graph Theory

paper · pdf · doi:10.48550/arxiv.1701.04848

openalex publication_date 2017/01/17 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

In the present note we prove a conjecture of Demailly for finite sets of\nsufficiently many very general points in projective spaces. This gives a lower\nbound on Waldschmidt constants of such sets. Waldschmidt constants are\nasymptotic invariants of subschemes receiving recently considerable amount of\nattention.\n

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