J. De Beule

activity

20232026

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2 papers · 1 filter

math.CO2023

On $m$ -ovoids of $Q^{+} (7, q)$ with $q$ odd

Sam Adriaensen, Jan De Beule, Giovanni Giuseppe Grimaldi +1

In this paper, we provide a construction of $(q + 1)$ -ovoids of the hyperbolic quadric $Q^{+} (7, q)$ , $q$ an odd prime power, by glueing $(q + 1) /2$ -ovoids of the elliptic quadric $Q^-(5,…

math.CO2023★ 1 cited

Some non-existence results on $m$ -ovoids in classical polar spaces

Jan De Beule, Jonathan Mannaert, Valentino Smaldore

In this paper we develop non-existence results for $m$ -ovoids in the classical polar spaces $Q^{-} (2 r + 1, q), W (2 r - 1, q)$ and $H (2 r, q^{2})$ for $r > 2$ . In [4] a lower bound on $m$ for the…

On m-ovoids of Q+(7,q) with q odd

Some non-existence results on m-ovoids in classical polar spaces

On $m$ -ovoids of $Q^{+} (7, q)$ with $q$ odd

Some non-existence results on $m$ -ovoids in classical polar spaces