Clément de Seguins Pazzis

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math.RA2026

Spaces of matrices with few eigenvalues (II)

Clément de Seguins Pazzis

Let $F$ be a field, and $M$ be a linear subspace of $n$ -by- $n$ matrices with entries in $F$ that have at most two eigenvalues in $F$ (respectively, at most one non-zero e…

math.RA2023

On affine spaces of alternating matrices with constant rank

Clément de Seguins Pazzis

Let $F$ be a field, and $n \geq r > 0$ be integers, with $r$ even. Denote by $A_{n} (F)$ the space of all $n$ -by- $n$ alternating matrices with entries in $\ma…