Abstract
An upper bound for the Castelnuovo–Mumford regularity of the associated graded module of an one-dimensional module is given in term of its Hilbert coefficients. It is also investigated when the bound is attained.
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Acknowledgements
The author was partially supported by NAFOSTED (Vietnam). The author is grateful to Prof. L.T. Hoa for his guidance and the referee for critical remarks.
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Dung, L.X. Castelnuovo–Mumford regularity of associated graded modules in dimension one. Acta Math Vietnam. 38, 541–550 (2013). https://doi.org/10.1007/s40306-013-0033-0
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DOI: https://doi.org/10.1007/s40306-013-0033-0