The Picard group of a compact toric variety

DOI10.1007/BF03323103zbMath0786.14031OpenAlexW2111890749MaRDI QIDQ1196066

Markus Eikelberg

Publication date: 12 January 1993

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

Full work available at URL: https://doi.org/10.1007/bf03323103

zbMATH Keywords

Picard groupfanCartier divisorscompact toric variety

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Divisors, linear systems, invertible sheaves (14C20) Picard groups (14C22) Polyhedral manifolds (52B70)

Related Items

Invariant divisors and homology of compact complex toric varieties, Invariant divisors and Poincaré homomorphism of complex toric varieties, The functor of a toric variety with enough invariant effective Cartier divisors, Vector bundles on proper toric 3-folds and certain other schemes, Limits of tropicalizations, On the problem of resolution of singularities: its development and current status (from a myopic point of view of one researcher struggling with the problem), Smooth complete toric threefolds with no nontrivial nef line bundles, Toric vector bundles, branched covers of fans, and the resolution property, The generalized Mukai conjecture for toric log Fano pairs, On the Kleiman-Mori cone

Cites Work

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• Picard groups of compact toric varieties and combinatorial classes of fans
• Decomposability of polytopes and polyhedra
• Representations of polytopes and polyhedral sets
• The Rational Homology of Toric Varieties is Not a Combinatorial Invariant
• THE GEOMETRY OF TORIC VARIETIES
• Indecomposable Polytopes