On the complexity of smooth projective toric varieties

DOI10.2748/tmj/1178224932zbMath0966.14037arXivalg-geom/9611010OpenAlexW1975290275MaRDI QIDQ1281708

Serkan Hoşten

Publication date: 22 July 2001

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

Full work available at URL: https://arxiv.org/abs/alg-geom/9611010

zbMATH Keywords

toric varietiesGröbner basistoric idealbistellar flipcomplete regular fandegenerations of monomial idealsnumber of facets of a chamber

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Gale and other diagrams (52B35)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Constructions and complexity of secondary polytopes
• Duality and minors of secondary polyhedra
• The Gröbner fan of an ideal
• Standard bases and geometric invariant theory. I: Initial ideals and state polytopes
• On the classification of smooth projective toric varieties
• Variation of cost functions in integer programming
• Gröbner bases of lattices, corner polyhedra, and integer programming
• The polytope of all triangulations of a point configuration
• A Geometric Buchberger Algorithm for Integer Programming