Level algebras and \(\boldsymbol{s}\)-lecture hall polytopes
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Publication:2200429
DOI10.37236/8626zbMath1448.51013arXiv1710.10892OpenAlexW2766843723MaRDI QIDQ2200429
Publication date: 21 September 2020
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.10892
Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Combinatorial aspects of partitions of integers (05A17) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Polyhedra and polytopes; regular figures, division of spaces (51M20) Computational aspects and applications of commutative rings (13P99)
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Cites Work
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- The lecture hall parallelepiped
- The \({1/k}\)-Eulerian polynomials
- Facets of the \(r\)-stable \((n,k)\)-hypersimplex
- The mathematics of lecture hall partitions
- Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences
- Some results on Ehrhart polynomials of convex polytopes
- Two poset polytopes
- Lecture hall partitions. II
- Lecture hall partitions
- Combinatorial mathematics, optimal designs and their applications. Papers presented at the International Symposium held at Colorado State University, Fort Collins, Colorado, June 5-9, 1978
- On the Hilbert function of a graded Cohen-Macaulay domain
- Hilbert functions of graded algebras
- Gorenstein algebras of Veronese type
- Universal inequalities in Ehrhart theory
- Hilbert bases and lecture hall partitions
- Self dual reflexive simplices with Eulerian polynomials
- Combinatorics and commutative algebra.
- On the relationship between Ehrhart unimodality and Ehrhart positivity
- Some algebraic properties of lecture hall polytopes
- Lecture hall \(P\)-partitions
- Pseudo-Gorenstein and level Hibi rings
- Rational lecture hall polytopes and inflated Eulerian polynomials
- Non-level semi-standard graded Cohen-Macaulay domain with \(h\)-vector \((h_{0},h_{1},h_{2})\)
- Mirror symmetry and polar duality of polytopes
- Additive Number Theory and Inequalities in Ehrhart Theory
- Inequalities and Ehrhart $\delta $-vectors
- Polytopes, Rings, and K-Theory
- Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties
- Ehrhart Theory of Spanning Lattice Polytopes
- Gorenstein properties and integer decomposition properties of lecture hall polytopes
- Computing the Continuous Discretely
- Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
- Quadratic Gröbner bases of twinned order polytopes
