Graded filtrations and ideals of reduction number two

2021/05/15 by Kumashiro, Shinya
#13A30 #13D40 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2105.07185

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.

Related

• Sally modules and associated graded rings
• On the structure of the Sally module and the second normal Hilbert coefficient
• A filtration of the Sally module and the First normal Hilbert Coefficient
• Hilbert Functions of Filtered Modules
• Bounds for Hilbert coefficients