Multiplication matrices and ideals of projective dimension zero
Samuel Lundqvist
TL;DR
This paper introduces multiplication matrices for ideals of projective dimension zero and presents a new algorithm to compute their varieties, enhancing computational methods in algebraic geometry.
Contribution
It proposes the concept of multiplication matrices for such ideals and develops a novel algorithm for their variety computation.
Findings
New concept of multiplication matrices for projective dimension zero ideals
A novel algorithm for computing the variety of these ideals
Potential improvements in algebraic geometry computations
Abstract
We introduce the concept of multiplication matrices for ideals of projective dimension zero. We discuss various applications and in particular, we give a new algorithm to compute the variety of an ideal of projective dimension zero.
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Taxonomy
TopicsRings, Modules, and Algebras · Commutative Algebra and Its Applications · Advanced Topics in Algebra