List of problems
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Publication:6645687
DOI10.1007/978-981-97-3886-1_12MaRDI QIDQ6645687
Rosa M. Miró-Roig, Martina Juhnke
Publication date: 28 November 2024
HessianGorenstein algebrasmonomial idealsweak Lefschetz propertystrong Lefschetz propertyArtinian algebrasJordan typeunexpected surfaces
Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Syzygies, resolutions, complexes and commutative rings (13D02) Lists of open problems (00A27)
Cites Work
- Title not available (Why is that?)
- Gotzmann squarefree ideals
- A tour of the weak and strong Lefschetz properties
- Squarefree \( P\)-modules and the \({\mathbf {cd}}\)-index
- On the weak Lefschetz property for powers of linear forms
- Unexpected hypersurfaces with multiple fat points
- Partitions into odd, unequal parts
- Representations of \(\text{SL}(2,\mathbb{C})\) and unimodal polynomials.
- Proof of a conjecture about unimodal polynomials
- Jacobian ideals, arrangements and the Lefschetz properties
- Lefschetz properties of balanced 3-polytopes
- The weak and strong Lefschetz properties for Artinian \(K\)-algebras
- Inverse system of a symbolic power. I
- Combinatorics and commutative algebra.
- Unexpected hypersurfaces and where to find them
- Artinian algebras and Jordan type
- Companion varieties for root systems and Fermat arrangements
- Complete intersection Jordan types in height two
- Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
- Chordality, \(d\)-collapsibility, and componentwise linear ideals
- A classification of the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms
- Lefschetz properties of some codimension three Artinian Gorenstein algebras
- Perazzo 3-folds and the weak Lefschetz property
- Monomial ideals, almost complete intersections and the Weak Lefschetz property
- Line arrangements and configurations of points with an unexpected geometric property
- Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
- Componentwise linear ideals
- Lefschetz properties for complete intersection ideals generated by products of linear forms
- The Lefschetz Property for Componentwise Linear Ideals and Gotzmann Ideals
- Reduction numbers and initial ideals
- Laplace Equations and the Weak Lefschetz Property
- The Partition Complex: an invitation to combinatorial commutative algebra
- Unexpected curves and Togliatti‐type surfaces
- Interpolation and the weak Lefschetz property
- On the shape of a pure 𝑂-sequence
- Sets of points which project to complete intersections, and unexpected cones
- On the weak Lefschetz property for height four equigenerated complete intersections
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