On the Fiber Cones of Good Filtrations
Duong Quoc Viet
TL;DR
This paper investigates the properties of fiber cones associated with good filtrations, focusing on their multiplicity and Cohen-Macaulayness, and relates these properties to minimal reductions.
Contribution
It provides a characterization of fiber cones' multiplicity and Cohen-Macaulayness using minimal reductions of good filtrations.
Findings
Characterization of multiplicity of fiber cones.
Criteria for Cohen-Macaulayness of fiber cones.
Relation between minimal reductions and fiber cone properties.
Abstract
The paper characterizes the multiplicity and the Cohen-Macaulayness of fiber cones of good filtrations in terms of minimal reductions of these filtrations.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Advanced Numerical Analysis Techniques