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arxiv: 1809.07461 · v1 · pith:R654SVSInew · submitted 2018-09-20 · 🧮 math.AC

A note on Castelnuovo-Mumford regularity and Hilbert coefficients

classification 🧮 math.AC
keywords boundscastelnuovo-mumfordcoefficientshilbertregularityexamplesgivenlower
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New upper and lower bounds on the Castelnuovo-Mumford regularity are given in terms of the Hilbert coefficients. Examples are provided to show that these bounds are in some sense nearly sharp.

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