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Projective Remoteness planes associated to singular quadrics and their collineation groups. (3F007915)

We aim to prove the existence of singular Mazzocca-Melone sets, and then to classify them. The corresponding geometries are projective remoteness planes. The main objective is to add an additional feature to Galois descent by allowing singular cases, establish the connection with a class of composition algebras, prove functorial properties and initiate the study of parapolar spaces with singular symplecta.

Date:1 Oct 2015  →  30 Sep 2019
Keywords:parapolar spaces, Magic Square, Mazzocca-Melone sets, Galois descent, Projective remoteness planes, buildings
Disciplines:Convex and discrete geometry, Geometry, Non-associative rings and algebras, Geometry not elsewhere classified