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20092026
most citedOn exceptional Lie geometries

5 citations · 9 across the 22 of their papers we have counts for

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6 papers · 1 filter

math.MG2015

Strongly transitive actions on Euclidean buildings

Linus Kramer, Jeroen Schillewaert

We prove a decomposition result for a group acting strongly transitively on the Tits boundary of a Euclidean building. As an application we provide a local to global result for…

math.MG2013

Imbrex geometries

Jeroen Schillewaert, Hendrik Van Maldeghem

We introduce an axiom on strong parapolar spaces of diameter 2, which arises naturally in the framework of Hjelmslev geometries. This way, we characterize the Hjelmslev-Moufang pla…

math.MG2013

Generalised Veroneseans

Andreas Klein, Jeroen Schillewaert, Leo Storme

In \cite{ThasHVM}, a characterization of the finite quadric Veronesean by means of properties of the set of its tangent spaces is proved. These tangent sp…

math.MG2013

Small maximal partial ovoids in generalized quadrangles

Jeroen Schillewaert, Jacques Verstraete

A {\em maximal partial ovoid} of a generalized quadrangle is a maximal set of points no two of which are collinear. The problem of determining the smallest size of a maximal partia…

math.MG2011

On metrically complete Bruhat-Tits buildings

Benjamin Martin, Jeroen Schillewaert, Günter F. Steinke +1

Metrical completeness for Bruhat-Tits buildings is a natural and useful condition. In this paper we determine which Bruhat-Tits buildings are metrically complete up to certain case…

math.MG2009

Coarse Equivalences of Euclidean Buildings

Linus Kramer, Richard M Weiss, Jeroen Schillewaert +1

We prove the following rigidity results. Coarse equivalences between Euclidean buildings preserve spherical buildings at infinity. If all irreducible factors have dimension at leas…