Let Syz_1(m) be the first syzygy of the graded maximal ideal m of a polynomial ring K[x_1,..., x_n] over a field K. Using the theory of s-sequences, the dimension and depth of the symmetric algebra Sym(Syz_1(m)) are calculated. As a conclusion, Sym(Syz_1(m)) is not Cohen–Macaulay for any n ≥ 4.
On the Symmetric Algebra of the First Syzygy of a Graded Maximal Ideal
RESTUCCIA, GaetanaMembro del Collaboration Group
;UTANO, RosannaMembro del Collaboration Group
2016-01-01
Abstract
Let Syz_1(m) be the first syzygy of the graded maximal ideal m of a polynomial ring K[x_1,..., x_n] over a field K. Using the theory of s-sequences, the dimension and depth of the symmetric algebra Sym(Syz_1(m)) are calculated. As a conclusion, Sym(Syz_1(m)) is not Cohen–Macaulay for any n ≥ 4.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
Rest_Tag_Ut_2016.pdf
solo utenti autorizzati
Descrizione: Articolo definitivo
Tipologia:
Versione Editoriale (PDF)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
377.79 kB
Formato
Adobe PDF
|
377.79 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.