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

Shoetsu Ogata

doi:10.5802/aif.2005

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

Shoetsu Ogata

SCI - Mathematics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

It is known that generators of ideals defining projective toric varieties of dimension n embedded by global sections of normally generated line bundles have degree at most n + 1. We characterize projective toric varieties of dimension n whose defining ideals must have elements of degree n + 1 as generators.

Original language	English
Pages (from-to)	2243-2255
Number of pages	13
Journal	Annales de l'Institut Fourier
Volume	53
Issue number	7
DOIs	https://doi.org/10.5802/aif.2005
Publication status	Published - 2004

Keywords

Convex polytopes
Generators of ideals
Toric varieties

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

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10.5802/aif.2005

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abstract = "It is known that generators of ideals defining projective toric varieties of dimension n embedded by global sections of normally generated line bundles have degree at most n + 1. We characterize projective toric varieties of dimension n whose defining ideals must have elements of degree n + 1 as generators.",

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KW - Convex polytopes

KW - Generators of ideals

KW - Toric varieties

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

Abstract

Keywords

ASJC Scopus subject areas

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