CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishIn this paper we prove the existence of minimal level artinian graded algebras having socle degree r and type t and describe their h-vector in terms of the r-binomial expansion of t. We also investigate the graded Betti numbers of such algebras and completely describe their extremal resolutions. We also show that any set of points in PP^n whose Hilbert function has first difference as described above, must satisfy the Cayley-Bacharach property.
Scheda prodotto non validato
Attenzione! I dati visualizzati non sono stati sottoposti a validazione da parte dell'ateneo
| Titolo: | Level Algebras, Lex Segments and Minimal Hilbert Functions |
| Autori: | |
| Data di pubblicazione: | 2003 |
| Rivista: | |
| Abstract: | In this paper we prove the existence of minimal level artinian graded algebras having socle degree r and type t and describe their h-vector in terms of the r-binomial expansion of t. We also investigate the graded Betti numbers of such algebras and completely describe their extremal resolutions. We also show that any set of points in PP^n whose Hilbert function has first difference as described above, must satisfy the Cayley-Bacharach property. |
| Handle: | http://hdl.handle.net/11567/208987 |
| Appare nelle tipologie: | 01.01 - Articolo su rivista |
File in questo prodotto:
http://hdl.handle.net/11567/208987
Copyright © 2021