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General Galois Geometries

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This book is the second edition of the third and last volume of a treatise on projective spaces over a finite field, also known as Galois geometries. This volume completes the trilogy comprised of plane case (first volume) and three dimensions (second volume). 
 
This revised edition includes much updating and new material. It is a mostly self-contained study of classical varieties over a finite field, related incidence structures and particular point sets in finite n-dimensional projective spaces. 
 
General Galois Geometries is suitable for PhD students and researchers in combinatorics and geometry. The separate chapters can be used for courses at postgraduate level.
Authors: Hirschfeld J.W.P, Thas J.A.
Publisher: SPRINGER
Pages: 409
ISBN: 9781447167884
Cover: Hardback
Edition Number: 1
Release Year: 2016

Preface.- Terminology.- Quadrics.- Hermitian varieties.- Grassmann varieties.- Veronese and Serge varieties.- Embedded geometries.- Arcs and Caps.- Ovoids, spreads and m-systems of finite polar spaces.- References.- Index.

Department of Mathematics, University of Sussex, Brighton, United Kingdom

Department of Mathematics, Ghent University, Gent, Belgium

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