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

Giulio Caviglia; Alessandro De Stefani

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arXiv · 2104.13129

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

Giulio Caviglia·Alessandro De Stefani

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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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Giulio Caviglia, Alessandro De Stefani. 2021-04-27. Linearly presented modules and bounds on the Castelnuovo-Mumford regularity of ideals. https://arxiv.org/abs/2104.13129

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