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arXiv · 1705.05909

Castelnuovo-Mumford regularity of Koszul cycles and Koszul homologies

Kamran Lamei·Navid Nemati
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Abstract

We extend to one dimensional quotients the result of A. Conca and S. Murai on the convexity of the regularity of Koszul cycles. By providing a relation between the regularity of Koszul cycles and Koszul homologies we prove a sharp regularity bound for the Koszul homologies of a homogeneous ideal in a polynomial ring under the same conditions.

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Kamran Lamei, Navid Nemati. 2017-05-16. Castelnuovo-Mumford regularity of Koszul cycles and Koszul homologies. https://arxiv.org/abs/1705.05909

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