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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.
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| 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 |
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