On the dimension of syzygies
Mohsen Asgharzadeh
TL;DR
This paper investigates the properties of syzygy modules, specifically their length, support, and dimension, providing partial answers to existing questions in the field.
Contribution
It offers new computations of syzygy module invariants, advancing understanding of their structure in specific algebraic contexts.
Findings
Computed length, support, and dimension of syzygy modules
Partially answered open questions by Huneke et al.
Enhanced understanding of syzygy module properties
Abstract
In this note we compute length, support and dimension of syzygy modules of certain modules. This partially answers questions asked by Huneke et al.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic Geometry and Number Theory