Project

Special points sets of polar spaces, and directions in affine spaces

Code
01E03709
Duration
01 October 2009 → 25 October 2015
Funding
Regional and community funding: Special Research Fund, Research Foundation - Flanders (FWO)
Promotor
Research disciplines
  • Natural sciences
    • Algebra
    • Geometry
    • History and foundations
Keywords
affine spaces finite geometries ovoids and spreads of polar spasmes lacunary polynomials
 
Project description

Substructures of finite classical polar spaces, the geometries associated to finite classical groups, are studied. We use standard geometrical and combinatorial methods, but we also connect some problems, in polar speaces of rank 2, to the so called direction problems in affine spaces. The study of this problem is a substantial part of the project