7 citations · 10 across the 7 of their papers we have counts for
7 papers
Two-dimensional affine R-buildings defined by generalized polygons with non-discrete valuation
Koen Struyve, Hendrik Van Maldeghem
In this paper we complete the proof of the "equivalence" of non-discrete R-buildings of types A~_2 and C~_2, with, respectively, projective planes and generalized quadrangles with…
Generalized polygons with non-discrete valuation defined by two-dimensional affine R-buildings
Koen Struyve, Hendrik Van Maldeghem
In this paper, we show that the building at infinity of a two-dimensional affine R-building is a generalized polygon endowed with a valuation satisfying some specific axioms. Speci…
Quadrangles embedded in metasymplectic spaces
Koen Struyve
During the final steps in the classification of the Moufang quadrangles by Jacques Tits and Richard Weiss a new class of Moufang quadrangles unexpectedly turned up. Subsequently Be…
Moufang sets related to polarities in exceptional Moufang quadrangles of type F_4
Koen Struyve
Departing from a Moufang set related to a polarity in an exceptional Moufang quadrangle of type F_4, we construct a rank three geometry. The main property of this new geometry is t…
Ree geometries
Fabienne Haot, Koen Struyve, Hendrik Van Maldeghem
We introduce a rank 3 geometry for any Ree group over a not necessarily perfect field and show that its full collineation group is the automorphism group of the corresponding Ree g…
Moufang quadrangles of mixed type
Koen Struyve, Hendrik Van Maldeghem
In this paper, we present some geometric characterizations of the Moufang quadrangles of mixed type, i.e., the Moufang quadrangles all the points and lines of which are regular. Ro…