On the existence of certain smooth toric varieties

DOI10.1007/BF02187789zbMath0766.14040MaRDI QIDQ1812909

Jörg Gretenkort, Bernd Sturmfels, Peter Kleinschmidt

Publication date: 25 June 1992

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131116

zbMATH Keywords

Betti numbers of smooth complete toric varietiescombinatorial types of complete fans of cones

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25)

Related Items

Wedge operations and torus symmetries, A Lefschetz hyperplane theorem for Mori dream spaces, Small covers over wedges of polygons, On the classification of smooth projective toric varieties

Cites Work

• Unnamed Item
• Lectures on torus embeddings and applications. (Based on joint work with Katsuya Miyake.)
• Spherical complexes and nonprojective toric varieties
• A classification of toric varieties with few generators
• The number of faces of a simplicial convex polytope
• Computational synthetic geometry
• Geometry of the Gass-Saaty parametric cost LP algorithm
• THE GEOMETRY OF TORIC VARIETIES
• TOROIDAL FANO 3-FOLDS
• The Upper Bound Conjecture and Cohen-Macaulay Rings
• An enumeration of simplicial 4-polytopes with 8 vertices