Very ample and Koszul segmental fibrations

DOI10.1007/s10801-014-0577-7zbMath1331.52020arXiv1307.7422OpenAlexW2085116874MaRDI QIDQ894245

Jessica Delgado, Matthias Beck, Joseph Gubeladze, Mateusz Michałek

Publication date: 30 November 2015

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.7422

zbMATH Keywords

normal polytoperegular unimodular triangulationKoszul polytopevery ample polytope

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)

Related Items

Non-Normal Very Ample Polytopes – Constructions and Examples, Quantum jumps of normal polytopes, Non-normal very ample polytopes and their holes, Integer decomposition property of dilated polytopes, Normal polytopes and ellipsoids, Enumeration of lattice polytopes by their volume, An Eisenbud-Goto-type upper bound for the Castelnuovo-Mumford regularity of fake weighted projective spaces

Cites Work

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• Polytopal affine semigroups with holes deep inside
• Non-normal very ample polytopes and their holes
• Toroidal embeddings. I
• The pinched Veronese is Koszul
• Mini-workshop: Projective normality of smooth toric varieties. Abstracts from the mini-workshop held August 12--18, 2007.
• Affine torus embeddings which are complete intersections
• Combinatorial pure subrings.
• Multigraded regularity and the Koszul property
• Finitely many smooth \(d\)-polytopes with \(n\) lattice points
• Alcoved polytopes. I.
• Lattice polytopes cut out by root systems and the Koszul property
• Unimodular triangulations of dilated 3-polytopes
• Computing the Continuous Discretely
• Polytopes, Rings, and K-Theory
• Normality and covering properties of affine semigroups
• Koszul Algebras and Regularity
• Non-Normal Very Ample Polytopes – Constructions and Examples
• Koszul Resolutions
• All toric local complete intersection singularities admit projective crepant resolutions