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Picard groups of compact toric varieties and combinatorial classes of fans

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Publication:686711
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DOI10.1007/BF03322301zbMath0811.14044MaRDI QIDQ686711

Markus Eikelberg

Publication date: 11 October 1993

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


zbMATH Keywords

associated fan of toric varietyrank of the Picard group


Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Grassmannians, Schubert varieties, flag manifolds (14M15) Picard groups (14C22)


Related Items

Invariant divisors and Poincaré homomorphism of complex toric varieties, Conic decomposition of a toric variety and its application to cohomology, The Picard group of a compact toric variety, On embeddings into toric prevarieties, The toroidal embedding arising from an irrational fan



Cites Work

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  • Decomposability of polytopes and polyhedra
  • Representations of polytopes and polyhedral sets
  • Chow ring of projective nonsingular torus embedding
  • An indecomposable polytope all of whose facets are decomposable
  • The Rational Homology of Toric Varieties is Not a Combinatorial Invariant
  • THE GEOMETRY OF TORIC VARIETIES
  • Reducible convex sets
  • Indecomposable Polytopes
  • Decomposable convex polyhedra
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