KRS and determinantal ideals
| dc.creator | Bruns, Winfried | |
| dc.creator | Conca, Aldo | |
| dc.date | 2000-05-26 | |
| dc.date.accessioned | 2026-07-07T04:35:33Z | |
| dc.date.available | 2026-07-07T04:35:33Z | |
| dc.description | The first sections contain a survey of the application of the Knuth-Robinson-Schensted corerspondence to the computation of Groebner bases of determinantal ideals. We also set up a conceptual framework for this application in terms of so-called "KRS invariants". Then we show that the initial ideal of a determinantal ideal "defined by shape" is given by its KRS image. We furthermore characterize those among these ideals that even have a Groebner basis of products of minors, and show that they can be characterized in terms of Greene's KRS invariants. Furthermore it is shown that for the ideal generated by all t-minors the formation of initial ideal and symbolic power commutes. The last section contains a discussion of potential KRS invariants related to so-called 1-cogenerated ideals. | |
| dc.description | 22 pages, uses epic, eepic | |
| dc.identifier | https://arxiv.org/abs/math/0005260 | |
| dc.identifier | http://arxiv.org/abs/math/0005260 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59289 | |
| dc.subject | Commutative Algebra | |
| dc.subject | Algebraic Geometry | |
| dc.subject | Combinatorics | |
| dc.subject | 13C40, 13F59, 14M12 | |
| dc.title | KRS and determinantal ideals | |
| dc.type | text |