General Galois Geometries / by James Hirschfeld, Joseph A. Thas.

Format:

Book

Author/Creator:

Hirschfeld, James., Author.

Thas, Joseph A., Author.

Series:

Springer Monographs in Mathematics, 1439-7382

Language:

English

Subjects (All):

Geometry, Projective.

Combinatorial analysis.

Geometry, Algebraic.

Projective Geometry.

Combinatorics.

Algebraic Geometry.

Local Subjects:

Projective Geometry.

Combinatorics.

Algebraic Geometry.

Physical Description:

1 online resource (422 p.)

Edition:

1st ed. 2016.

Place of Publication:

London : Springer London : Imprint: Springer, 2016.

Language Note:

English

Summary:

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.

Contents:

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.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-4471-6790-2