3 papers
math.CO2024
Classifying pseudo-ovals, translation generalized quadrangles, and elation Laguerre planes of small order
Giusy Monzillo, Tim Penttila, Alessandro Siciliano
We provide classification results for translation generalized quadrangles of order less or equal to , and hence, for all incidence geometries related to them. The results consi…
math.CO2023
Classification of spreads of Tits quadrangles of order 64
Giusy Monzillo, Tim Penttila, Alessandro Siciliano
Brown et al. provide a representation of a spread of the Tits quadrangle , an oval of , even, in terms of a certain family of …
math.CO2023
Eggs in finite projective spaces and unitals in translation planes
Giusy Monzillo, Tim Penttila, Alessandro Siciliano
Inspired by the connection between ovoids and unitals arising from the Buekenhout construction in the André/Bruck-Bose representation of translation planes of dimension at most two…