Unexpected hypersurfaces with multiple fat points

DOI10.1016/j.jsc.2020.07.018zbMath1471.14018arXiv1812.04032OpenAlexW3041318978MaRDI QIDQ820984

Justyna Szpond

Publication date: 29 September 2021

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.04032

zbMATH Keywords

linear systemsfat pointsFermat-type arrangementspostulation problemunexpected hypersurfaces

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 (3)

Algebraic Geometry, Commutative Algebra and Combinatorics: Interactions and Open Problems ⋮ A matrixwise approach to unexpected hypersurfaces ⋮ Quartic unexpected curves and surfaces

Cites Work

• Unnamed Item
• Ordinary and symbolic Rees algebras for ideals of Fermat point configurations
• On codimension two flats in Fermat-type arrangements
• On the containment problem
• Fermat-type configurations of lines in \(\mathbb{P}^3\) and the containment problem
• Unexpected hypersurfaces and where to find them
• Fermat-type arrangements
• Quartic unexpected curves and surfaces
• Counterexamples to the \(I^{(3)}\subset I^2\) containment
• A survey of Sylvester's problem and its generalizations
• Line arrangements and configurations of points with an unexpected geometric property
• Singular hypersurfaces characterizing the Lefschetz properties

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