Let S be a polynomial ring over a field and I⊆S a homogeneous ideal containing a regular sequence of forms of degrees d1,…,dc. In this paper we prove the Lex-plus-powers Conjecture when the field has characteristic 0 for all regular sequences such that di≥∑j=1i−1(dj−1)+1 for each i; that is, we show that the Betti table of I is bounded above by the Betti table of the lex-plus-powers ideal of I.
On the Lex-plus-powers Conjecture
Sammartano A.
2018-01-01
Abstract
Let S be a polynomial ring over a field and I⊆S a homogeneous ideal containing a regular sequence of forms of degrees d1,…,dc. In this paper we prove the Lex-plus-powers Conjecture when the field has characteristic 0 for all regular sequences such that di≥∑j=1i−1(dj−1)+1 for each i; that is, we show that the Betti table of I is bounded above by the Betti table of the lex-plus-powers ideal of I.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
On the Lex-plus-powers Conjecture AiM.pdf
Accesso riservato
:
Publisher’s version
Dimensione
395.37 kB
Formato
Adobe PDF
|
395.37 kB | Adobe PDF | Visualizza/Apri |
|
lpp.pdf
accesso aperto
:
Post-Print (DRAFT o Author’s Accepted Manuscript-AAM)
Dimensione
221.47 kB
Formato
Adobe PDF
|
221.47 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
