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Castelnuovo-Mumford regularity of Koszul cycles and Koszul homologies. (arXiv:1705.05909v1 [math.AC])

来源于:arXiv
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. 查看全文>>