Groebner bases and determinantal ideals

2003/02/06 by Winfried Bruns, W. Bruns, Bruns, W. +3 · 10 citations
Computer Science · Engineering · Mathematics · #05E10 #13F50 #13F55 #13H10 #13P10 #14M12 #Advanced Numerical Analysis Techniques #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation #math.AC #msc:05E10 #msc:13F50 #msc:13F55 #msc:13H10 #msc:13P10 #msc:14M12

paper · pdf · doi:10.48550/arxiv.math/0302058

58 pages The newest version has some typos corrected and uses the AMS style

openalex publication_date 2003/02/06 · arxiv created 2003/08/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give an introduction to the theory of determinantal ideals and rings, their Groebner bases, initial ideals and algebras, respectively. The approach is based on the straightening law and the Knuth-Robinson-Schensted correspondence. The article contains a section treating the basic results about the passage to initial ideals and algebras.

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