Let K be a field and let S = K[x_1,. . .,x_n] be a polynomial ring over K. Let F be a finitely generated graded free S-module with basis e_1, . . ., e_r in degrees f_1, .. ., f_r such that f_1 leq f_2 leq dots leq f_r. We examine some classes of squarefree monomial submodules of $F$. Hence, we focalize our attention on the Betti table of such classes in order to analyze the behavior of their extremal Betti numbers.
Squarefree monomial modules and extremal Betti numbers
CRUPI, Marilena;FERRO', CARMELA
2016-01-01
Abstract
Let K be a field and let S = K[x_1,. . .,x_n] be a polynomial ring over K. Let F be a finitely generated graded free S-module with basis e_1, . . ., e_r in degrees f_1, .. ., f_r such that f_1 leq f_2 leq dots leq f_r. We examine some classes of squarefree monomial submodules of $F$. Hence, we focalize our attention on the Betti table of such classes in order to analyze the behavior of their extremal Betti numbers.File in questo prodotto:
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