Derek Wu

collaborators

3 papers

math.AG2026

On degenerate geometric rank

Matěj Doležálek, Paweł Pielasa, Derek Wu

A tensor of degenerate geometric rank corresponds to a linear space of matrices in which some locus of matrices of rank at most $r$ has unexpectedly large dimension. We prove a suf…

math.AG2024

Border rank bounds for $G L (V)$ -invariant tensors arising from matrices of constant rank

Derek Wu

We prove border rank bounds for a class of $G L (V)$ -invariant tensors in $V^{*} \otimes U \otimes W$ , where $U$ and $W$ are $G L (V)$ -modules. These tensors correspond to spaces of matric…

math.AG2019

Prym-Brill-Noether Loci of special curves

Steven Creech, Yoav Len, Caelan Ritter +1

We use Young tableaux to compute the dimension of $V^{r}$ , the Prym-Brill-Noether locus of a folded chain of loops of any gonality. This tropical result yields a new upper bound on t…

On degenerate geometric rank

Border rank bounds for GL(V)-invariant tensors arising from matrices of constant rank

Prym-Brill-Noether Loci of special curves

Border rank bounds for $G L (V)$ -invariant tensors arising from matrices of constant rank