Subsets of ${\mathbb {P}}^4$ with no four points on a plane

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2026年7月16日

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Geertrui Van de Voorde,
José Felipe Voloch

摘要

We describe a new construction of a subset of ${\mathbb {P}}^4$ $P^{4}$ with no four points on a plane over any finite field of order q in which 3 is not a square. This set has size $2q+1$ $2 q + 1$ , is maximal with respect to inclusion, and is the largest known such set.

Subsets of \({\mathbb {P}}^4\) with no four points on a plane

摘要