General Galois Geometries
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Beschreibung
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.
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.
Contains many applications to coding theory, algebraic geometry, incidence geometry, design theory, graph theory, and group theory Provides detailed studies of quadrics, Hermitian varieties, Grassmann varieties, Veronese and Segre varieties Unique being the only book of its kind
Autor*in
James Hirschfeld
Themen in »General Galois Geometries«
Finite Geometry Finite Field Algebraic Variety Quadric Hermitian Variety Grassmann Variety Incidence Structure Arc MDS Code Cap combinatorics