We study the Castelnuovo-Mumford regularity of the module of Koszul cycles of a homogeneous ideal I in a polynomial ring S with respect to a graded module M. Under mild assumptions on the base field we prove that reg Z_t(I,S) is a subadditive function of t when dim S/I = 0. For Borel-fixed ideals I, J we prove that a result already announced in an earlier paper by Bruns, Conca and Romer.

Regularity bounds for Koszul cycles

CONCA, ALDO;
2015-01-01

Abstract

We study the Castelnuovo-Mumford regularity of the module of Koszul cycles of a homogeneous ideal I in a polynomial ring S with respect to a graded module M. Under mild assumptions on the base field we prove that reg Z_t(I,S) is a subadditive function of t when dim S/I = 0. For Borel-fixed ideals I, J we prove that a result already announced in an earlier paper by Bruns, Conca and Romer.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11567/817917
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