On Constructions of Free Singularities
Raul Epure, Delphine Pol
TL;DR
This paper introduces new examples of free singularities, demonstrating that generic equidimensional subspace arrangements are free and characterizing when products of Cohen-Macaulay subspaces are free.
Contribution
It provides novel examples of free singularities and establishes criteria for the freeness of products of Cohen-Macaulay subspaces.
Findings
Generic equidimensional subspace arrangements are free
Product of two Cohen-Macaulay subspaces is free iff both are free
New classes of free singularities identified
Abstract
The purpose of this paper is to give new examples of families of free singularities. We first show that a generic equidimensional subspace arrangement is free. Furthermore, we show that a product of two reduced Cohen-Macaulay subspaces is free if and only if both subspaces are free.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models