Mathematics and Its Applications

1 primary work

Modern Projective Geometry

by Claude-Alain Faure and Alfred Froelicher

Published 30 September 2000

This monograph develops projective geometries and provides a systematic treatment of morphisms. It introduces a new fundamental theorem and its applications describing morphisms of projective geometries in homogeneous coordinates by semilinear maps. Other topics treated include three equivalent definitions of projective geometries and their correspondence with certain lattices; quotients of projective geometries and isomorphism theorems; and recent results in dimension theory.