On a conjecture of Demailly and new bounds on Waldschmidt constants in \(\mathbb{P}^N\)

DOI10.1016/j.jnt.2017.12.004zbMath1391.14015arXiv1701.04848OpenAlexW2963895115WikidataQ123356545 ScholiaQ123356545MaRDI QIDQ1748142

Justyna Szpond, Tomasz Szemberg, Grzegorz Malara

Publication date: 2 May 2018

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

Full work available at URL: https://arxiv.org/abs/1701.04848

zbMATH Keywords

projective spacepoint configurationssymbolic powersWaldschmidt constants

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Complex surface and hypersurface singularities (32S25) Ideals and multiplicative ideal theory in commutative rings (13A15) Divisors, linear systems, invertible sheaves (14C20)

Related Items (13)

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 ⋮ Waldschmidt constants in projective spaces ⋮ The structure and free resolutions of the symbolic powers of star configurations of hypersurfaces ⋮ Fermat-type configurations of lines in \(\mathbb{P}^3\) and the containment problem ⋮ Lower semi-continuity of the Waldschmidt constants ⋮ Interpolation and the weak Lefschetz property ⋮ Demailly's conjecture on Waldschmidt constants for sufficiently many very general points in \(\mathbb{P}^n\) ⋮ Chudnovsky’s conjecture and the stable Harbourne–Huneke containment ⋮ The initial degree of symbolic powers of Fermat-like ideals of planes and lines arrangements

Cites Work

• Unnamed Item
• Unnamed Item
• Star configurations in \(\mathbb{P}^n\)
• Resurgences for ideals of special point configurations in \(\mathbb P^N\) coming from hyperplane arrangements
• Sur une minoration du degré d'hypersurfaces s'annulant en certains points
• Chudnovsky's conjecture for very general points in \(\mathbb{P}_k^N\)
• Counterexamples to the \(I^{(3)}\subset I^2\) containment
• Linear subspaces, symbolic powers and Nagata type conjectures
• The Waldschmidt constant for squarefree monomial ideals
• Waldschmidt constants for Stanley–Reisner ideals of a class of simplicial complexes
• Lemmes de Schwarz en plusieurs variables et applications arithmétiques
• Formules de Jensen en plusieurs variables et applications arithmétiques
• Initial sequences and Waldschmidt constants of planar point configurations
• A containment result in 𝑃ⁿ and the Chudnovsky Conjecture
• Uniform bounds and symbolic powers on smooth varieties

This page was built for publication: On a conjecture of Demailly and new bounds on Waldschmidt constants in \(\mathbb{P}^N\)