Author

Piotr Pokora

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Preprint Sep 2026

Demailly's Inequality for Finite Sets of Points in Positive Characteristic

Let $k$ be an algebraically closed field of characteristic $p>0$, $n\ge1$, and let $X\subset \mathbb P^n_k$ be a finite nonempty set of distinct points with the defining ideal $I=I(X)$. We give a proof of Demailly's inequality in positive characteristic. The argument is based on the Frobenius--Hasse derivative method u...

Piotr Pokora, T. Szemberg · 0 citations

Preprint Aug 2026

Simplicial arrangements in real projective three-space revisited

In this paper we study irreducible simplicial arrangements of projective planes in $\mathbb{P}^{3}(\mathbb{R})$ from combinatorial and projective geometry viewpoints. We first formulate a simpliciality criterion in terms of incidences between rank-two and rank-three flats, together with equivalent formulations using fa...

Marek Janasz, Piotr Pokora · 0 citations