Linearly presented modules and bounds on the Castelnuovo-Mumford regularity of ideals

Caviglia, Giulio; De Stefani, Alessandro

doi:10.1090/proc/15902

Linearly presented modules and bounds on the Castelnuovo-Mumford regularity of ideals
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by Giulio Caviglia and Alessandro De Stefani

Proc. Amer. Math. Soc. 150 (2022), 1397-1404

DOI: https://doi.org/10.1090/proc/15902

Published electronically: January 26, 2022

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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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