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 Gröbner basis of quadrics.
Products of Borel fixed ideals of maximal minors
Conca, Aldo
2017-01-01
Abstract
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 Gröbner basis of quadrics.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
(2017) Bruns Conca Products of Borel fixed ideals of maximal minors.pdf
accesso chiuso
Tipologia:
Documento in versione editoriale
Dimensione
461.22 kB
Formato
Adobe PDF
|
461.22 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
