Unexpected hypersurfaces and where to find them
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Publication:1980014
DOI10.1307/mmj/1593741748zbMath1469.14107arXiv1805.10626OpenAlexW3040629491MaRDI QIDQ1980014
Brian Harbourne, Uwe Nagel, Juan C. Migliore, Zach Teitler
Publication date: 3 September 2021
Published in: Michigan Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.10626
Syzygies, resolutions, complexes and commutative rings (13D02) Divisors, linear systems, invertible sheaves (14C20) Projective techniques in algebraic geometry (14N05) Configurations and arrangements of linear subspaces (14N20) Combinatorial aspects of commutative algebra (05E40)
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Cites Work
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- On the weak Lefschetz property for powers of linear forms
- On a theorem of Castelnuovo, and the equations defining space curves
- The genus of space curves
- Determinantal rings
- Introduction to liaison theory and deficiency modules
- Jacobian ideals, arrangements and the Lefschetz properties
- Laplace equations, Lefschetz properties and line arrangements
- A construction of \(H_4\) without miracles
- Inverse system of a symbolic power. I
- On the unique unexpected quartic in \(\mathbb{P}^2\)
- Quartic unexpected curves and surfaces
- Unexpected curves arising from special line arrangements
- Ideal containments under flat extensions
- Logarithmic bundles and line arrangements, an approach via the standard construction
- Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property
- Matroid automorphisms of the H_4 root system
- Line arrangements and configurations of points with an unexpected geometric property
- The weak Lefschetz property and powers of linear forms in 𝕂[𝕩,𝕪,𝕫]
- Unexpected curves and Togliatti‐type surfaces
- Singular hypersurfaces characterizing the Lefschetz properties
- On the geometry of real or complex supersolvable line arrangements
