q-Clan Geometries in Characteristic 2

Editora: Birkhauser Basel Data de lançamento: 2008-01-03

Descrição

A q-clan with q a power of 2 is equivalent to a certain generalized quadrangle with a family of subquadrangles each associated with an oval in the Desarguesian plane of order 2. It is also equivalent to a flock of a quadratic cone, and hence to a line-spread of 3-dimensional projective space and thus to a translation plane, and more. These geometric objects are tied together by the so-called Fundamental Theorem of q-Clan Geometry.The book gives acomplete proof of this theorem, followed by a detailed study of the known examples. The collineation groups of the associated generalized quadrangles and the stabilizers of their associated ovals are worked out completely.

Hide/show more

Informação Adicional

Gênero: Algebraic geometry

Coleção: Birkhauser

Typo: Adobe PDF

ISBN: 9783764385088

Informação Adicional

Gênero: Algebraic geometry

Coleção: Birkhauser

Typo: Adobe PDF

ISBN: 9783764385088

Conteúdo alternativo sugerido: Ilaria Cardinali
Carregando… favor aguardar