The characterization of \(( n- 1)\)-spheres with \(n+ 4\) vertices having maximal Buchstaber number

DOI10.1515/crelle-2024-0027MaRDI QIDQ6547192

Mathieu Vallée, Hyeontae Jang, Suyoung Choi

Publication date: 30 May 2024

Published in: Journal für die Reine und Angewandte Mathematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Triangulating manifolds (57Q15) Combinatorial aspects of simplicial complexes (05E45) Computer science (68-XX) Toric topology (57S12)

Cites Work

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• The complete enumeration of the 4-polytopes and 3-spheres with eight vertices
• Wedge operations and torus symmetries
• Buchstaber invariant, minimal non-simplices and related
• Examples of smooth compact toric varieties that are not quasitoric manifolds
• Buchstaber invariants of skeleta of a simplex
• Two-dimensional weak pseudomanifolds on eight vertices
• Convex polytopes, Coxeter orbifolds and torus actions
• Isomorphism-free lexicographic enumeration of triangulated surfaces and 3-manifolds
• A classification of toric varieties with few generators
• The classification of simplicial 3-spheres with nine vertices into polytopes and nonpolytopes
• An enumeration of combinatorial 3-manifolds with nine vertices
• On the classification of smooth projective toric varieties
• A structure theorem for pseudomanifolds
• On the existence of certain smooth toric varieties
• Combinatorics and commutative algebra.
• Two dimensional weak pseudomanifolds on seven vertices
• An algorithmic strategy for finding characteristic maps over wedged simplicial complexes
• Small covers and quasitoric manifolds over neighborly polytopes
• On the classification of quasitoric manifolds over dual cyclic polytopes
• Buchstaber invariant theory of simplicial complexes and convex polytopes
• Spheres with few vertices
• Combinatorial triangulations of homology spheres
• The polyhedral product functor: A method of decomposition for moment-angle complexes, arrangements and related spaces
• Moment-angle manifolds of simple $ n$-polytopes with $ n+3$ facets
• Convex Polytopes
• Wedge Operations and Torus Symmetries II
• Minimal Rational Curves on Complete Toric Manifolds and Applications
• Toric Topology
• An enumeration of simplicial 4-polytopes with 8 vertices

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