An Early History of Toric Ideals

Fuente: arXiv
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Main Author: Hoşten, Serkan
Format: Preprint
Published: 2025
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author Hoşten, Serkan
author_facet Hoşten, Serkan
contents Toric ideals are everywhere. They have been in the commutative algebra lexicon since about 1990 when Bernd Sturmfels used the term. The early days of toric ideals and their Gröbner bases were full of new results and promising developments in their applications. Bernd has been consistently their biggest promoter through his own work and that of his collaborators and students. This article is a personal and subjective recalling of the first decade of toric ideals when Bernd played a central role.
format Preprint
id arxiv_https___arxiv_org_abs_2505_18443
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle An Early History of Toric Ideals
Hoşten, Serkan
Commutative Algebra
Algebraic Geometry
13P10, 13P25, 14M25, 14Q15
Toric ideals are everywhere. They have been in the commutative algebra lexicon since about 1990 when Bernd Sturmfels used the term. The early days of toric ideals and their Gröbner bases were full of new results and promising developments in their applications. Bernd has been consistently their biggest promoter through his own work and that of his collaborators and students. This article is a personal and subjective recalling of the first decade of toric ideals when Bernd played a central role.
title An Early History of Toric Ideals
topic Commutative Algebra
Algebraic Geometry
13P10, 13P25, 14M25, 14Q15
url https://arxiv.org/abs/2505.18443