Products of Borel fixed ideals of maximal minors
| Autor(en): | Bruns, Winfried Conca, Aldo |
Stichwörter: | BASES; DETERMINANTAL IDEALS; KRS; Linear resolutions; Mathematics; Mathematics, Applied; POWERS; Rees algebras; REES-ALGEBRAS; SCHUBERT POLYNOMIALS; Toric deformations | Erscheinungsdatum: | 2017 | Herausgeber: | ACADEMIC PRESS INC ELSEVIER SCIENCE | Journal: | ADVANCES IN APPLIED MATHEMATICS | Volumen: | 91 | Startseite: | 1 | Seitenende: | 23 | Zusammenfassung: | We study a large family of products of Borel fixed ideals of maximal minors. We compute their initial ideals and primary decompositions, and show that they have linear free resolutions. The main tools are an extension of straightening law and a very uniform primary decomposition formula. We study also the homological properties of associated multi-Rees algebra which are shown to be Cohen Macaulay, Koszul and defined by a Grdbner basis of quadrics. (C) 2017 Elsevier Inc. All rights reserved. |
ISSN: | 01968858 | DOI: | 10.1016/j.aam.2017.05.007 |
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