We estimate the Castelnuovo-Mumford regularity of ideals in a polynomial ring over a field by studying the regularity of certain modules generated in degree zero and with linear relations. In dimension one, this process gives a new type of upper bounds. By means of recursive techniques this also produces new upper bounds for ideals in any dimension.

LINEARLY PRESENTED MODULES AND BOUNDS ON THE CASTELNUOVO-MUMFORD REGULARITY OF IDEALS

de Stefani A.
2022

Abstract

We estimate the Castelnuovo-Mumford regularity of ideals in a polynomial ring over a field by studying the regularity of certain modules generated in degree zero and with linear relations. In dimension one, this process gives a new type of upper bounds. By means of recursive techniques this also produces new upper bounds for ideals in any dimension.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11567/1091453
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