Rational versus real cohomology algebras of low-dimensional toric varieties

DOI10.1090/S0002-9939-02-06735-7zbMath1013.14013OpenAlexW1600963625MaRDI QIDQ4794567

Eva Maria Feichtner

Publication date: 19 February 2003

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-02-06735-7

zbMATH Keywords

toric varietiescohomology algebrassimplicial fansHodge-Riemann-Minkowski inequalities

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) Grassmannians, Schubert varieties, flag manifolds (14M15) Classical real and complex (co)homology in algebraic geometry (14F25) Singular homology and cohomology theory (55N10)

Related Items (1)

Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces

Cites Work

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• The algebra of continuous piecewise polynomials
• Intersection homology theory
• On simple polytopes
• Which 4-manifolds are toric varieties?
• The structure of the polytope algebra
• Introduction to Toric Varieties. (AM-131)
• The Rational Homology of Toric Varieties is Not a Combinatorial Invariant
• Lectures on Polytopes

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