Jonathan Mannaert

activity

20202025

most citedCameron-Liebler line classes in AG(3,q)

8 citations · 26 across the 8 of their papers we have counts for

collaborators

9 papers

math.CO2025

Cameron-Liebler sets of generators in the Klein quadric $Q^{+} (5, q)$

Jozefien D'haeseleer, Jonathan Mannaert, Leo Storme

We investigate Cameron-Liebler sets of planes in the Klein quadric $Q^{+} (5, q)$ in PG $(5, q)$ . We prove that there are many examples of such Cameron-Liebler sets of planes in the Klei…

math.CO2024

On two non-existence results for Cameron-Liebler $k$ -sets in $PG (n, q)$

Jan De Beule, Jonathan Mannaert, Leo Storme

This paper focuses on non-existence results for Cameron-Liebler $k$ -sets. A Cameron-Liebler $k$ -set is a collection of $k$ -spaces in $PG (n, q)$ or $AG (n, q)$ admitt…

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…

math.CO2022★ 3 cited

Degree 2 Boolean Functions on Grassmann Graphs

Jan De Beule, Jozefien D'haeseleer, Ferdinand Ihringer +1

We investigate the existence of Boolean degree $d$ functions on the Grassmann graph of $k$ -spaces in the vector space $F_{q}^{n}$ . For $d = 1$ several non-existence and classifi…

math.CO2021★ 3 cited

A modular equality for Cameron-Liebler line classes in projective and affine spaces of odd dimension

Jan De Beule, Jonathan Mannaert

In this article we study Cameron-Liebler line classes in PG $(n, q)$ and AG $(n, q)$ , objects also known as boolean degree one functions. A Cameron-Liebler line class $L$ is…

math.CO2021★ 7 cited

Cameron-Liebler k-sets in subspaces and non-existence conditions

Jan De Beule, Jonathan Mannaert, Leo Storme

In this article we generalize the concepts that were used in the PhD thesis of Drudge to classify Cameron-Liebler line classes in PG $(n, q), n \geq 3$ , to Cameron-Liebler sets of $k$ …

math.CO2020★ 4 cited

Cameron-Liebler $k$ -sets in $AG (n, q)$

Jozefien D'haeseleer, Ferdinand Ihringer, Jonathan Mannaert +1

We study Cameron-Liebler $k$ -sets in the affine geometry, so sets of $k$ -spaces in $AG (n, q)$ . This generalizes research on Cameron-Liebler $k$ -sets in the projective geomet…

math.CO2020★ 8 cited

Cameron-Liebler line classes in AG(3,q)

Jozefien D'haeseleer, Jonathan Mannaert, Leo Storme +1

The study of Cameron-Liebler line classes in PG( $3, q$ ) arose from classifying specific collineation subgroups of PG( $3, q$ ). Recently, these line classes were considered in new sett…

Cameron-Liebler sets of generators in the Klein quadric Q+(5,q)

On two non-existence results for Cameron-Liebler k-sets in PG(n,q)

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

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