The Rational Homology of Toric Varieties is Not a Combinatorial Invariant

DOI10.2307/2047063zbMath0671.52007OpenAlexW4252042095MaRDI QIDQ3824967

Mark McConnell

Publication date: 1989

Full work available at URL: https://doi.org/10.2307/2047063

zbMATH Keywords

Betti numbersf-vectorcombinatorially equivalent polytopestoric variety with singularities

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Polytopes and polyhedra (52Bxx)

Related Items

Rational versus real cohomology algebras of low-dimensional toric varieties, Tropical geometry, the motivic nearby fiber, and limit mixed Hodge numbers of hypersurfaces, Invariant divisors and Poincaré homomorphism of complex toric varieties, Poincaré polynomials of generic torus orbit closures in Schubert varieties, A new index for polytopes, The Picard group of a compact toric variety, Picard groups of compact toric varieties and combinatorial classes of fans, On the geometry of spherical varieties, An upper bound theorem for rational polytopes, The decomposition theorem, perverse sheaves and the topology of algebraic maps

Cites Work

• Toroidal embeddings. I
• The number of faces of a simplicial convex polytope
• A proof of the sufficiency of McMullen's conditions for f-vectors of simplicial convex polytopes
• Unnamed Item