Author

N. Albuquerque

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Preprint Aug 2026

The Aron--Rueda zero-subspace problem

We determine the exact finite-dimensional threshold in the zero-subspace problem of Aron and Rueda for complex homogeneous polynomials. More precisely, for every $d$ and $k$ we determine the least $m$ such that every $d$-homogeneous polynomial on $\mathbb{C}^m$ vanishes on a $k$-dimensional linear subspace. We also det...

N. Albuquerque, D. Pellegrino, A. Raposo · 0 citations