On the containment problem

DOI10.1007/s12215-016-0281-7zbMath1386.14045arXiv1601.01308OpenAlexW2228789273WikidataQ59608133 ScholiaQ59608133MaRDI QIDQ1676551

Tomasz Szemberg, Justyna Szpond

Publication date: 9 November 2017

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.01308

zbMATH Keywords

Waldschmidt constantsfat point schemesline arrangements,ordinary powers of ideals, symbolic powers of ideals

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Divisors, linear systems, invertible sheaves (14C20) Configurations and arrangements of linear subspaces (14N20)

Related Items (24)

Resurgence numbers of fiber products of projective schemes ⋮ Unexpected hypersurfaces with multiple fat points ⋮ Lower bounds for Waldschmidt constants of generic lines in \({\mathbb {P}}^3\) and a Chudnovsky-type theorem ⋮ On the parameter spaces of some Böröczky configurations ⋮ Calculations involving symbolic powers ⋮ Sextactic points on the Fermat cubic curve and arrangements of conics ⋮ Comparison of symbolic and ordinary powers of parity binomial edge ideals ⋮ Symbolic powers of codimension two Cohen-Macaulay ideals ⋮ The symbolic defect of an ideal ⋮ Steiner systems and configurations of points ⋮ Special line arrangements in \(\mathbb {P}^2\) and Waldschmidt constant of their singular points ⋮ Fermat-type configurations of lines in \(\mathbb{P}^3\) and the containment problem ⋮ From Pappus theorem to parameter spaces of some extremal line point configurations and applications ⋮ The containment problem and a rational simplicial arrangement ⋮ Uniform Harbourne-Huneke bounds via flat extensions ⋮ On the containment problem for fat points ideals and Harbourne’s conjecture ⋮ A remark on symbolic powers ⋮ All symbolic powers and ordinary powers of the defining ideal of a fat nearly-complete intersection are equal ⋮ Containment problem and combinatorics ⋮ Algebraic stories from one and from the other pockets ⋮ Asymptotic invariants of ideals with Noetherian symbolic Rees algebra and applications to cover ideals ⋮ The 21 Reducible Polars of Klein’s Quartic ⋮ Chudnovsky’s conjecture and the stable Harbourne–Huneke containment ⋮ New phenomena in the containment problem for simplicial arrangements

Uses Software

• SINGULAR

Cites Work

• Unnamed Item
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