Demailly's conjecture on Waldschmidt constants for sufficiently many very general points in \(\mathbb{P}^n\)

DOI10.1016/j.jnt.2019.07.004zbMath1423.14047arXiv1903.05824OpenAlexW2970152253WikidataQ123218259 ScholiaQ123218259MaRDI QIDQ2329267

Yu-Lin Chang, Shin-Yao Jow

Publication date: 17 October 2019

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.05824

zbMATH Keywords

Waldschmidt constantChudnovsky's conjectureDemailly's conjectureNagata-Iarrobino conjecture

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Ideals and multiplicative ideal theory in commutative rings (13A15) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05)

Related Items (6)

Symbolic Rees Algebras ⋮ Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems ⋮ Demailly's conjecture and the containment problem ⋮ All fat point subschemes in \(\mathbb{P}^2\) with the Waldschmidt constant less than 5/2 ⋮ Initial degree of symbolic powers of ideals of Fermat configurations of points ⋮ The initial degree of symbolic powers of Fermat-like ideals of planes and lines arrangements

Cites Work

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• On a conjecture of Demailly and new bounds on Waldschmidt constants in \(\mathbb{P}^N\)
• On the postulation of \(s^d\) fat points in \(\mathbb P^d\)
• Formules de Jensen en plusieurs variables et applications arithmétiques
• A containment result in 𝑃ⁿ and the Chudnovsky Conjecture
• On the 14-th Problem of Hilbert

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