A containment result in 𝑃ⁿ and the Chudnovsky Conjecture

DOI10.1090/proc/13582zbMath1374.13005arXiv1603.03708OpenAlexW2591189139WikidataQ122887963 ScholiaQ122887963MaRDI QIDQ5274729

Marcin Dumnicki, Halszka Tutaj-Gasińska

Publication date: 6 July 2017

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03708

zbMATH Keywords

fat pointssymbolic powersChudnovsky conjecture

Mathematics Subject Classification ID

Graded rings (13A02) Ideals and multiplicative ideal theory in commutative rings (13A15)

Related Items (18)

Resurgence numbers of fiber products of projective schemes ⋮ Convex bodies and asymptotic invariants for powers of monomial ideals ⋮ Symbolic Rees Algebras ⋮ The Alexander–Hirschowitz Theorem and Related Problems ⋮ Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems ⋮ Lower bounds for Waldschmidt constants of generic lines in \({\mathbb {P}}^3\) and a Chudnovsky-type theorem ⋮ Demailly's conjecture and the containment problem ⋮ Initial degree of symbolic powers of ideals of Fermat configurations of points ⋮ Chudnovsky's conjecture for very general points in \(\mathbb{P}_k^N\) ⋮ Waldschmidt constants in projective spaces ⋮ Sextactic points on the Fermat cubic curve and arrangements of conics ⋮ On a conjecture of Demailly and new bounds on Waldschmidt constants in \(\mathbb{P}^N\) ⋮ On the containment problem for fat points ideals and Harbourne’s conjecture ⋮ 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

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