Abstract
Let be a set of types of subspaces of a projective space. Then a collineation or a duality is called -domestic if it maps no flag of type to an opposite one. In this paper, we characterize symplectic polarities as the only dualities of projective spaces that map no chamber to an opposite one. This implies a complete characterization of all -domestic dualities of an arbitrary projective space for all type subsets . We also completely characterize and classify -domestic collineations of projective spaces for all possible .
Citation
Beukje Temmermans. Joseph A. Thas. Hendrik van Maldeghem. "Domesticity in projective spaces." Innov. Incidence Geom. 12 141 - 149, 2011. https://doi.org/10.2140/iig.2011.12.141
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