Project

Projective Remoteness planes associated to singular quadrics and their collineation groups.

Duration
01 October 2015 → 30 September 2019
Funding
Research Foundation - Flanders (FWO)
Research disciplines
  • Natural sciences
    • Non-associative rings and algebras
    • Convex and discrete geometry
    • Geometry
    • Geometry not elsewhere classified
Keywords
parapolar spaces Magic Square Mazzocca-Melone sets Galois descent Projective remoteness planes buildings
 
Project description

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.