Homology, mixed multiplicities and Fiber Cone
Clare D'Cruz, Anna Guerrieri
TL;DR
This paper investigates the properties of the Hilbert coefficients of the fiber cone and compares its depth with that of the associated graded ring, contributing to the understanding of their algebraic structures.
Contribution
It introduces new insights into the relationship between Hilbert coefficients and the depth of fiber cones and associated graded rings.
Findings
Analysis of Hilbert coefficients of fiber cones
Comparison of depths between fiber cone and associated graded ring
New theoretical relationships established
Abstract
In this paper we study the Hilbert coefficients the fiber cone. We also compare the depths of the fiber cone and the associated graded ring.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Advanced Combinatorial Mathematics