We give a combinatorial proof of the Dedekind-Mertens formula by computing the initial ideal of the content ideal of the product of two generic polynomials. As a side effect we obtain a complete classification of the rank $1$ Cohen-Macaulay modules over the determinantal rings $K[X]/I_2(X)$.
The Dedekind-Mertens formula and determinantal rings
GUERRIERI, ANNA
1999-01-01
Abstract
We give a combinatorial proof of the Dedekind-Mertens formula by computing the initial ideal of the content ideal of the product of two generic polynomials. As a side effect we obtain a complete classification of the rank $1$ Cohen-Macaulay modules over the determinantal rings $K[X]/I_2(X)$.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
dedmertens-brgu.pdf
accesso aperto
Tipologia:
Documento in Versione Editoriale
Licenza:
Dominio pubblico
Dimensione
212.01 kB
Formato
Adobe PDF
|
212.01 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
