Claude-alain Faure

Modern Projective Geometry - Mathematics and Its Applications Claude-alain Faure Softcover Reprint of the Original 1st Ed. 2000 edition

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.