Degenerations of toric ideals and toric varieties

DOI10.1016/j.jmaa.2011.08.020zbMath1235.14044OpenAlexW2059322369MaRDI QIDQ643562

Chun-Gang Zhu

Publication date: 2 November 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.08.020

zbMATH Keywords

toric varietiestoric idealsdegenerationsregular subdivisions

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Polynomial rings and ideals; rings of integer-valued polynomials (13F20)

Related Items (3)

A semigroup defining the Gröbner degeneration of a toric ideal ⋮ Degenerations of rational Bézier surface with weights in the form of exponential function ⋮ Degenerations of NURBS curves while all of weights approaching infinity

Cites Work

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• Standard bases and geometric invariant theory. I: Initial ideals and state polytopes
• Chow polytopes and general resultants
• Fiber polytopes
• Toric surface patches
• Gröbner bases of toric varieties
• Introduction to Toric Varieties. (AM-131)

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