Graded filtrations and ideals of reduction number 2

Shinya Kumashiro

Mathematische Nachrichten, 2023, vol. 296, issue 5, 1983-1996

Abstract: In this paper, we give a way to construct graded filtrations of graded modules. We then apply it to the Sally module, which describes a correction term of the Hilbert function. As a result, we obtain the inequality of the Hilbert coefficients for ideals of reduction number 2 or 3.

Date: 2023
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