Piotr Oszer

most citedHilbert-Burch matrices and explicit torus-stable families of finite subschemes of

A^{2}

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.AG2026

Deformations of the connected sum of Gorenstein algebras

Piotr Oszer

We prove that the Gorenstein locus of the Hilbert scheme of points on $A^{n}$ is non-reduced for $n \geq 12$ ; we construct examples of non-reduced points that come from apolar…

math.AG2024★ 1 cited

Hilbert-Burch matrices and explicit torus-stable families of finite subschemes of $A^{2}$

Piotr Oszer

Using Hilbert-Burch matrices, we give an explicit description of the Białynicki-Birula cells on the Hilbert scheme of points on $A^{2}$ with isolated fixed points. If the fi…

Deformations of the connected sum of Gorenstein algebras

Hilbert-Burch matrices and explicit torus-stable families of finite subschemes of A2

Hilbert-Burch matrices and explicit torus-stable families of finite subschemes of $A^{2}$