On the containment I(3) ⊂ I2 and configurationsof triple points in Böröczky line arrangements

DOI10.12958/adm1959arXiv2202.04923OpenAlexW4387625049MaRDI QIDQ6185593

Jakub Kabat

Publication date: 29 January 2024

Published in: Algebra and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.04923

zbMATH Keywords

idealsline arrangementscontainment problemHarbourne-Huneke problem

Mathematics Subject Classification ID

Arrangements of points, flats, hyperplanes (aspects of discrete geometry) (52C35) Structure, classification theorems for modules and ideals in commutative rings (13C05) Divisors, linear systems, invertible sheaves (14C20)

Cites Work

• From Pappus theorem to parameter spaces of some extremal line point configurations and applications
• A counterexample to the containment \(I^{(3)} \subset I^{2}\) over the reals
• Comparison of symbolic and ordinary powers of ideals.
• 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
• Comparing powers and symbolic powers of ideals
• Arrangements of Lines with a Large Number of Triangles
• Expected resurgences and symbolic powers of ideals
• Uniform bounds and symbolic powers on smooth varieties
• Supersolvable resolutions of line arrangements

This page was built for publication: On the containment I(3) ⊂ I2 and configurationsof triple points in Böröczky line arrangements