Invariant divisors and Poincaré homomorphism of complex toric varieties

DOI10.2748/tmj/1178225338zbMath0876.14035OpenAlexW2032854075MaRDI QIDQ1362546

Ludger Kaup, Gottfried Barthel, Karl-Heinz Fieseler, Jean-Paul Brasselet

Publication date: 11 September 1997

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225338

zbMATH Keywords

fanBetti numbersPoincaré dualityintegral cohomologyWeil divisorscomplex toric varietyinvariant Cartier divisors

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Classical real and complex (co)homology in algebraic geometry (14F25) Divisors, linear systems, invertible sheaves (14C20)

Related Items (2)

Toric surfaces, vanishing Euler characteristic and Euler obstruction of a function ⋮ On the integral cohomology of toric varieties

Cites Work

• Picard groups of compact toric varieties and combinatorial classes of fans
• Torus embeddings and dualizing complexes
• The Picard group of a compact toric variety
• Eine Klasse komplexer Mannigfaltigkeiten und die Auflösung einiger isolierter Singularitäten
• Chern classes for singular algebraic varieties
• Certain invariant subrings are Gorenstein. I
• Introduction to Toric Varieties. (AM-131)
• Rational intersection cohomology of projective toric varieties.
• The Rational Homology of Toric Varieties is Not a Combinatorial Invariant
• THE GEOMETRY OF TORIC VARIETIES
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