Toric manifolds over 3-polytopes

DOI10.1007/978-3-031-57204-3_2MaRDI QIDQ6613454

Anton A. Ayzenberg

Publication date: 2 October 2024

zbMATH Keywords

polytopesfullerenequasitoric manifold3-polytopeprojective toric varietytoric spaces

Mathematics Subject Classification ID

Three-dimensional polytopes (52B10) Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Symplectic manifolds (general theory) (53D05) Geometric structures on manifolds of high or arbitrary dimension (57N16) Algebraic cycles (14C25) Algebraic topology of manifolds (57N65) Algebraic topology on manifolds and differential topology (57R19) Combinatorial aspects of simplicial complexes (05E45) Combinatorial aspects of commutative algebra (05E40) Toric topology (57S12)

Cites Work

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• Volume polynomials and duality algebras of multi-fans
• Examples of smooth compact toric varieties that are not quasitoric manifolds
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• Eine Klasse komplexer Mannigfaltigkeiten und die Auflösung einiger isolierter Singularitäten
• Hamiltoniens périodiques et images convexes de l'application moment
• An analogue of the Hodge-Riemann relations for simple convex polytopes
• Toric varieties
• Cohomological rigidity of manifolds defined by 3-dimensional polytopes
• Toric Topology

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