Relative Hard Lefschetz theorem for fans

DOI10.1016/j.aim.2019.03.006zbMath1411.14055arXiv1710.06468OpenAlexW2962865608WikidataQ128273628 ScholiaQ128273628MaRDI QIDQ1735488

Kalle Karu

Publication date: 28 March 2019

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.06468

zbMATH Keywords

toric varietiesfansrelative Hard Lefschetz theorem

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15) Other algebro-geometric (co)homologies (e.g., intersection, equivariant, Lawson, Deligne (co)homologies) (14F43) (Equivariant) Chow groups and rings; motives (14C15)

Related Items (3)

Resolutions of local face modules, functoriality, and vanishing of local \(h\)-vectors ⋮ A semi-small decomposition of the Chow ring of a matroid ⋮ Filtrations on combinatorial intersection cohomology and invariants of subdivisions

Cites Work

• Hard Lefschetz theorem for nonrational polytopes
• Local \(h\)-polynomials, invariants of subdivisions, and mixed Ehrhart theory
• The structure of the polytope algebra
• Combinatorial intersection cohomology for fans.
• Combinatorics and topology of proper toric maps
• Combinatorial duality and intersection product: a direct approach
• Introduction to Toric Varieties. (AM-131)
• Subdivisions and Local h-Vectors
• Hard Lefschetz theorem and Hodge-Riemann relations for intersection cohomology of nonrational polytopes
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