We study properties of the symmetric algebra of finitely generated graded modules M on a Noetherian ring R, generated by s-sequences. For these modules we investigate the Eisenbud-Goto conjecture. If R = K[X_1, . . . , X_n] is a polynomial ring over a field K and M has linear syzygies, we consider the jacobian dual module of M in order to describe the Rees algebra of M.
Symmetric algebras of finitely generated graded modules and s-sequences
RESTUCCIA, Gaetana
2006-01-01
Abstract
We study properties of the symmetric algebra of finitely generated graded modules M on a Noetherian ring R, generated by s-sequences. For these modules we investigate the Eisenbud-Goto conjecture. If R = K[X_1, . . . , X_n] is a polynomial ring over a field K and M has linear syzygies, we consider the jacobian dual module of M in order to describe the Rees algebra of M.File in questo prodotto:
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