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.File in questo prodotto:
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(2015) Conca Murai - Regularity bounds for Koszul cycles.pdf
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