2 papers
math.RA2025
On the dimension of affine subspaces of nilpotent matrices
Simone Calamai, Elena Rubei
The focus of the paper is on the maximal dimension of affine subspaces of nilpotent n x n matrices with fixed rank. In particular we obtain a result in the "border" case rank equal…
math.CV2024
Higher dimensional worm domains
Simone Calamai, Gian Maria Dall'Ara
We show how to construct a class of smooth bounded pseudoconvex domains whose boundary contains a given Stein manifold with strongly pseudoconvex boundary, having a prescribed codi…