Chudnovsky’s conjecture and the stable Harbourne–Huneke containment
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Publication:5864302
DOI10.1090/btran/103zbMath1489.14073arXiv2004.11213OpenAlexW3018616323WikidataQ113823160 ScholiaQ113823160MaRDI QIDQ5864302
Huy Tái Hà, Eloísa Grifo, Thái Thành Nguyễn, Sankhaneel Bisui
Publication date: 7 June 2022
Published in: Transactions of the American Mathematical Society, Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.11213
symbolic powerscontainment problemWaldschmidt constantChudnovsky's conjectureideals of pointsstable Harbourne conjecture
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Divisors, linear systems, invertible sheaves (14C20) Configurations and arrangements of linear subspaces (14N20)
Related Items (6)
The Alexander–Hirschowitz Theorem and Related Problems ⋮ Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems ⋮ Initial degree of symbolic powers of ideals of Fermat configurations of points ⋮ Expected resurgence of ideals defining Gorenstein rings ⋮ On the Waldschmidt constant of square-free principal Borel ideals ⋮ The initial degree of symbolic powers of Fermat-like ideals of planes and lines arrangements
Uses Software
Cites Work
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- Ordinary and symbolic Rees algebras for ideals of Fermat point configurations
- Star configurations in \(\mathbb{P}^n\)
- Containment counterexamples for ideals of various configurations of points in \(\mathbb{P}^N\)
- Resurgences for ideals of special point configurations in \(\mathbb P^N\) coming from hyperplane arrangements
- A Nullstellensatz with nilpotents and Zariski's Main Lemma on holomorphic functions
- The ideal of forms vanishing at a finite set of points in \({\mathbb{P}}^ n\)
- A counterexample to the containment \(I^{(3)} \subset I^{2}\) over the reals
- Sur une minoration du degré d'hypersurfaces s'annulant en certains points
- Minimally generating ideals defining certain tangent cones
- Uniform bounds in noetherian rings
- Graded Betti numbers of some embedded rational \(n\)-folds
- Powers of ideals. Primary decompositions, Artin-Rees lemma and regularity
- Comparison of symbolic and ordinary powers of ideals.
- On codimension two flats in Fermat-type arrangements
- On the containment problem
- Chudnovsky's conjecture for very general points in \(\mathbb{P}_k^N\)
- Symbolic powers of ideals
- On a conjecture of Demailly and new bounds on Waldschmidt constants in \(\mathbb{P}^N\)
- Perfectoid multiplier/test ideals in regular rings and bounds on symbolic powers
- Ideals of powers and powers of ideals. Intersecting algebra, geometry, and combinatorics
- A stable version of Harbourne's conjecture and the containment problem for space monomial curves
- Fermat-type arrangements
- Steiner systems and configurations of points
- Singular loci of reflection arrangements and the containment problem
- A homological criterion for the containment between symbolic and ordinary powers of some ideals of points in \(\mathbb{P}^2\)
- Counterexamples to the \(I^{(3)}\subset I^2\) containment
- Éléments de géométrie algébrique. IV: Étude locale des schémas et des morphismes de schémas. (Troisième partie). Rédigé avec la colloboration de J. Dieudonné
- Parameterspezialisierung in Polynomringen
- A fundamental lemma from the theory of holomorphic functions on an algebraic variety
- Are symbolic powers highly evolved?
- Symbolic Powers of Monomial Ideals
- Comparing powers and symbolic powers of ideals
- A primer on Seshadri constants
- Specialization of modules
- Non-Cohen-Macaulay Symbolic Blow-Ups for Space Monomial Curves and Counterexamples to Cowsik's Question
- On the containment problem for fat points ideals and Harbourne’s conjecture
- Negative Curves on Symmetric Blowups of the Projective Plane, Resurgences, and Waldschmidt Constants
- Expected resurgences and symbolic powers of ideals
- A containment result in 𝑃ⁿ and the Chudnovsky Conjecture
- Containing Symbolic Powers in Regular Rings
- Containments of symbolic powers of ideals of generic points in $\mathbb {P}^3$
- Uniform bounds and symbolic powers on smooth varieties
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