S. Di Rocco

activity

20232026

collaborators

4 papers

math.AG2026

Eigenvector Varieties

Sandra Di Rocco, Bernd Sturmfels, Svala Sverrisdóttir

Any linear space of square matrices has an associated eigenvector variety. Its points are eigenvectors of matrices from that linear space. We present a systematic study of eigenvec…

math.AG2025

Osculating Geometry and Higher-Order Distance Loci

Sandra Di Rocco, Kemal Rose, Luca Sodomaco

We discuss the problem of optimizing the distance function from a given point, subject to polynomial constraints. A key algebraic invariant that governs its complexity is the Eucli…

math.AG2023

Conditional Euclidean distance optimization via relative tangency

Sandra Di Rocco, Lukas Gustafsson, Luca Sodomaco

We introduce a theory of relative tangency for projective algebraic varieties. The dual variety $X_{Z}^{\lor}$ of a variety $X$ relative to a subvariety $Z$ is the set of hyperplanes t…

math.AG2023

Interpolation of toric varieties

Alicia Dickenstein, Sandra Di Rocco, Ragni Piene

Let $X \subset P^{d}$ be a $m$ -dimensional variety in $d$ -dimensional projective space. Let $k$ be a positive integer such that $(k m + k) \leq d$ . Consider the following in…