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Projective Geometries over Finite Fields


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Table of Contents

1: Finite fields
2: Projective spaces and algebraic varieties
3: Subspaces
4: Partitions
5: Canonical forms for varieties and polarities
6: The line
7: First properties of the plane
8: Ovals
9: Arithmetic of arcs of degree two
10: Arcs in ovals
11: Cubic curves
12: Arcs of higher degree
13: Blocking sets
14: Small planes

About the Author

Dr J. W. P. Hirschfeld, School of Mathematical Sciences, University of Sussex, Brighton, BN1 9QH. Tel.: +44 1273 678080; fax: +44 1273 678097


`The first edition of this work appeared in 1979, and was immediately recognized as an outstanding contribution to the field of finite geometry; the present volume is a complete revision of the earlier work...The book can serve as the text for a basic course...or as a detailed reference work for all topics in spaces of dimension two...The work is an indispensable aid to all workers in finite geometry, from beginning students to advanced researchers.'
Short Book Reviews
`...A complete reworking [of the first edition]. As before, the volume is concisely but clearly written, and contains a wealth of interesting material...the new trilogy, comprising the 1998, 1986 and 1991 volumes, looks set to be the standard reference work on projective spaces over finite fields for many years to come.'
Bulletin of the London Mathematical Society
'Snap it up !' Bulletin London mathematical Society

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