Let K be a field and let $S = K[x_1, . . . , x_n]$ be the polynomial ring over K. Let $F = ⊕^r_i=1 Se_i$ be a finitely generated graded free S-module with basis $e_1, . . . , e_r$ in degrees $f_1, . . . , f_r$ renumbered as necessary so that $f_1 ≤ f_2 ≤ ⋅s ≤ f_r$. We study the behaviour of the extremal Betti numbers of special classes of monomial submodules of F, for r > 1.
Minimal Resolutions of some monomial submodules
CRUPI, Marilena;UTANO, Rosanna
2009-01-01
Abstract
Let K be a field and let $S = K[x_1, . . . , x_n]$ be the polynomial ring over K. Let $F = ⊕^r_i=1 Se_i$ be a finitely generated graded free S-module with basis $e_1, . . . , e_r$ in degrees $f_1, . . . , f_r$ renumbered as necessary so that $f_1 ≤ f_2 ≤ ⋅s ≤ f_r$. We study the behaviour of the extremal Betti numbers of special classes of monomial submodules of F, for r > 1.File in questo prodotto:
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