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https://repositorio.ufba.br/handle/ri/7734
metadata.dc.type: | Artigo de Periódico |
Title: | Symbolic powers of edge ideals |
Other Titles: | Journal of Algebra |
Authors: | Bahiano, Carlos Eduardo Nogueira |
metadata.dc.creator: | Bahiano, Carlos Eduardo Nogueira |
Abstract: | Let I ⊂ R = k[X] = k[X1, . . . , Xn] be an ideal in a polynomial ring over the field k. We define the essential symbolic module of I to be the R/I -module F(I ) = r 2(I (r)/Σr (I )), where Σr (I ) = r−1 ı=1 I (ı)I (r−ı) and I(m) stands for the mth symbolic power of I. We will mainly focus on the case where I is generated by square-free monomials of degree two. Among our main results are optimal bounds for the degrees of the minimal generators of F(I ), several criteria for a monomial to be such a generator and an upper bound for the generation type of the symbolic Rees algebra of I . As a byproduct we recapture the result of Simis, Vasconcelos, and Villarreal on when such an ideal is normally torsionfree. |
Publisher: | Elservier |
URI: | http://www.repositorio.ufba.br/ri/handle/ri/7734 |
Issue Date: | 2004 |
Appears in Collections: | Artigo Publicado em Periódico (IME) |
Files in This Item:
File | Description | Size | Format | |
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1-s2.0-S0021869303004630-main.pdf Restricted Access | 297,79 kB | Adobe PDF | View/Open Request a copy |
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