Derek Wu

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math.AG2026

On degenerate geometric rank

MatÄj DoleÅ¾Ã¡lek, PaweÅ 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…

On degenerate geometric rank

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

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