Bounds for Hilbert coefficients
Juergen Herzog, Xinxian Zheng
TL;DR
This paper investigates bounds on Hilbert coefficients of graded modules, providing explicit calculations for modules with pure resolutions and discussing general bounds for all graded modules.
Contribution
It introduces new bounds for Hilbert coefficients and computes these coefficients explicitly for modules with pure resolutions.
Findings
Explicit formulas for Hilbert coefficients of pure resolution modules
Lower and upper bounds for Hilbert coefficients of arbitrary graded modules
Enhanced understanding of the behavior of Hilbert coefficients in graded modules
Abstract
We compute the Hilbert coefficients of a graded module with pure resolution and discuss lower and upper bounds for these coefficients for arbitrary graded modules.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic Geometry and Number Theory