J. Lebl

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math.CV2025

Hermitian rank in ideal powers

Abdullah Al Helal, JiÅÃ Lebl

We prove that the (hermitian) rank of $Q P^{d}$ is bounded from below by the rank of $P^{d}$ whenever $Q$ is not identically zero and real-analytic in a neighborhood of some point on th…

math.CV2024

On Segre-degenerate Levi-flat hypervarieties

JiÅÃ Lebl, Luka Mernik

We prove that a singular real-analytic Levi-flat hypersurface $H$ in $C^{n}$ being Segre-degenerate at a point $p$ is equivalent to the existence of a so-called support curve…