Unexpected hypersurfaces and their consequences: a survey

DOI10.1007/978-981-97-3886-1_2MaRDI QIDQ6645676

U. Nagel, Juan C. Migliore, B. Harbourne

Publication date: 28 November 2024

grids root systems fat points arithmetically Cohen-Macaulay Lefschetz properties unexpected hypersurfaces geproci sets O-sequences half grids SI-sequences very unexpected hypersurfaces

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02)

Cites Work

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A tour of the weak and strong Lefschetz properties
Unexpected hypersurfaces with multiple fat points
On a theorem of Castelnuovo, and the equations defining space curves
Vektorbündel vom Rang 2 über dem \(n\)-dimensionalen komplexprojektiven Raum
Laplace equations, Lefschetz properties and line arrangements
The weak and strong Lefschetz properties for Artinian \(K\)-algebras
Unexpected hypersurfaces and where to find them
On the unique unexpected quartic in \(\mathbb{P}^2\)
Unexpected surfaces singular on lines in \(\mathbb{P}^3\)
Expecting the unexpected: quantifying the persistence of unexpected hypersurfaces
Generic projections of the \(\mathrm{H}_4\) configuration of points
New constructions of unexpected hypersurfaces in \(\mathbb{P}^n\)
On 3-syzygy and unexpected plane curves
On the weak Lefschetz property for artinian Gorenstein algebras of codimension three
Quartic unexpected curves and surfaces
Unexpected curves arising from special line arrangements
Linear subspaces, symbolic powers and Nagata type conjectures
Logarithmic bundles and line arrangements, an approach via the standard construction
Line arrangements and configurations of points with an unexpected geometric property
Une conjecture pour la cohomologie des diviseurs sur les surfaces rationelles génériques.
Characterization of Hilbert Functions of Gorenstein Artin Algebras with the Weak Stanley Property
Unexpected curves and Togliatti‐type surfaces
Singular hypersurfaces characterizing the Lefschetz properties
Sets of points which project to complete intersections, and unexpected cones
Open problems

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