4 papers
math.AG2025
Matrix factorization and the generic plane projection of curve a singularity
Joan Elias
We study the matrix factorizations defined by the generic plane projections of a curve singularity of . On the other hand, given a plane curve singularity $Y\subset \…
math.AC2024
Almost finitely generated inverse systems and reduced k-algebras
Joan Elias, Maria Evelina Rossi
The purpose of this paper is to characterize one-dimensional local domains, or more in general reduced, in terms of its Macaulay's inverse system. This leads to study almost finite…
math.AC2024
Towards a characterization of the inverse systems of complete intersections
Joan Elias
In this paper we give conditions on a homogeneous polynomial for which the associated graded Artin algebra is a complete intersection.
math.AC2023
How to determine a curve singularity
Joan Elias
We characterize the finite codimension sub-K-algebras of K[[t]] as the solutions of a computable finite family of higher differential operators. For this end, we establish a dualit…