Publicaties
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On exceptional Lie geometries Universiteit Gent
Parapolar spaces are point-line geometries introduced as a geometric approach to (exceptional) algebraic groups. We characterize a wide class of Lie geometries as parapolar spaces satisfying a simple intersection property. In particular, many of the exceptional Lie incidence geometries occur. In an appendix, we extend our result to the locally disconnected case and discuss the locally disconnected case of some other well-known characterizations.
RF linearity trade-offs for varying T-gate geometries of GaN HEMTs on Si Interuniversitair Micro-Electronica Centrum vzw Vrije Universiteit Brussel
Short-channel Gallium Nitride (GaN) high-electron-mobility transistors (HEMTs) often utilize T-shape gates due to their large gate-line cross-sectional area and subsequent f(MAX) increase. In this paper, we report the linearity trade-offs associated with varying the T-gate geometries of AlGaN/GaN HEMTs on Si, specifically the gate extensions which serve as field plates and their impact on the large-signal performance. Small-signal ...
Generalized hexagons and Singer geometries Universiteit Gent
In this paper, we consider a set L of lines of PG(5, q) with the properties that (1) every plane contains 0, 1 or q + 1 elements of L, (2) every solid contains no more than q(2) + q + 1 and no less than q + 1 elements of L, and (3) every point of PG(5, q) is on q + 1 members of L, and we show that, whenever (4) q not equal 2 (respectively, q = 2) and the lines of L through some point are contained in a solid (respectively, a plane), then L is ...
Simple microfluidic stagnation point flow geometries KU Leuven
A geometrically simple flow cell is proposed to generate different types of stagnation flows, using a separation flow and small variations of the geometric parameters. Flows with high local deformation rates can be changed from purely rotational, over simple shear flow, to extensional flow in a region surrounding a stagnation point. Computational fluid dynamic calculations are used to analyse how variations of the geometrical parameters affect ...
Finite fields and Galois geometries Universiteit Gent
In 1954 Segre proved the following celebrated theorem : In PG(2, q), with q odd, every oval is a nonsingular conic. Crucial for the proof is Segre's Lemma of Tangents, where a strong result is deduced from the simple fact that the product of the nonzero elements of GF(q) is -1. Relying on this Lemma of Tangents he was able to prove excellent theorems on certain point sets in PG(2,q). To this end he also generalized the classical theorem of ...
Split buildings of type FU+2084 in buildings of type EU+2086 Universiteit Gent
Classification results for hyperovals of generalized quadrangles Universiteit Gent
A hyperoval of a point-line geometry is a nonempty set of points meeting each line in either 0 or 2 points. We discuss a combination of theoretical and practical techniques that are helpful for classifying hyperovals of generalized quadrangles. These techniques are based on the connection between hyperovals, even sets and pseudo-embeddings of point-line geometries.
Linear representations of subgeometries Vrije Universiteit Brussel Universiteit Gent
A linear representation $T_n^*(\K)$ of a point set $\K$ in a hyperplane $\PG(n,q)$ of $\PG(n+1,q)$ is a point-line geometry embedded in $\PG(n+1,q)$. We first prove that an isomorphism between two linear representations $T_n^*(\K)$ and $T_n^*(\K')$ is induced by an isomorphism between the two linear representations $T_n^*(\overline{\K})$ and $T_n^*(\overline{\K}')$ of their closures $\overline {\K}$ and $\overline{\K}'$.
This allows ...
This allows ...
Some notes on tetrahedrally closed spherical sets in Euclidean spaces Universiteit Gent
We describe a connection between a family of tetrahedrally closed spherical sets in Euclidean spaces and a family of point-line geometries called near polygons.