All symbolic powers and ordinary powers of the defining ideal of a fat nearly-complete intersection are equal

DOI10.1142/S0219498819501421zbMath1420.14123OpenAlexW2884327314MaRDI QIDQ5230108

Hassan Haghighi, Mohammad Mosakhani

Publication date: 20 August 2019

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498819501421

zbMATH Keywords

symbolic powerfat pointsresurgencecontainment problemordinary power

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Ideals and multiplicative ideal theory in commutative rings (13A15) Projective techniques in algebraic geometry (14N05) Configurations and arrangements of linear subspaces (14N20)

Related Items (1)

All fat point subschemes in \(\mathbb{P}^2\) with the Waldschmidt constant less than 5/2

Uses Software

• SINGULAR

Cites Work

• Containment results 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
• Comparison of symbolic and ordinary powers of ideals.
• On the containment problem
• A homological criterion for the containment between symbolic and ordinary powers of some ideals of points in \(\mathbb{P}^2\)
• Containment problem for points on a reducible conic in \(\mathbb P^2\)
• Asymptotic resurgences for ideals of positive dimensional subschemes of projective space
• Are symbolic powers highly evolved?
• The resurgence of ideals of points and the containment problem
• Comparing powers and symbolic powers of ideals
• Symbolic powers of codimension two Cohen-Macaulay ideals

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