Gröbner Bases and Determinantal Ideals

By W. Bruns, Aldo Conca. 2003

90 citations recorded by the source corpus.

We give an introduction to the theory of determinantal ideals and rings, their Grobner 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.

Subfields: Algebra and Number Theory, Computational Theory and Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/3b08e5654eec31caa313351a0f09f56324d05529