The complement of a point subset in a projective space and a Grassmann space

2013/05/20 by Mariusz Żynel, Żynel, Mariusz, Krzysztof Petelczyc +1
Mathematics · #51A15 #51A45 #Combinatorics (math.CO) #FOS: Mathematics #math.CO #msc:51A15 #msc:51A45

paper · pdf · doi:10.48550/arxiv.1305.4662

arxiv created 2013/05/20 · arxiv updated 2013/05/22

Abstract

In a projective space we fix some set of points, a horizon, and investigate the complement of that horizon. We prove, under some assumptions on the size of lines, that the ambient projective space, together with its horizon, both can be recovered in that complement. Then we apply this result to show something similar for Grassmann spaces.

Related

• The complement of a subspace in a classical polar space
• Topology of complements to real affine space line arrangements
• The space of complete quotients
• Projective Space: Points and Planes
• Complements of hypersurfaces in projective spaces