On projective toric varieties whose defining ideals have minimal generators of the highest degree.

DOI10.5802/aif.2005zbMath1069.14057OpenAlexW2476961580MaRDI QIDQ1878471

Shoetsu Ogata

Publication date: 20 August 2004

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2003__53_7_2243_0

Mathematics Subject Classification ID

Lattice polytopes in convex geometry (including relations with commutative algebra and algebraic geometry) (52B20) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Families, moduli, classification: algebraic theory (14J10)

Related Items (1)

Non-normal very ample polytopes and their holes

Cites Work

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• On generators of ideals defining projective toric varieties
• On the ampleness of invertible sheaves in complete projective toric varieties
• A criterion for the ideal of a projectively embedded toric surface to be generated by quadrics
• Generators for the ideal of a projectively embedded toric surface
• On quadratic generation of ideals defining projective toric varieties
• Binomial ideals
• Introduction to Toric Varieties. (AM-131)
• Equations Defining Toric Varieties
• Varieties Defined by Quadratic Equations

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