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General Galois geometries / J.W.P. Hirschfeld and J.A. Thas

By: Contributor(s): Material type: TextTextSeries: Springer monographs in mathematicsPublication details: New York : Springer, 2016.Description: xvi, 409 pages : illustrations ; 24 cmISBN:
  • 9781447167884 (alk. paper)
Subject(s): DDC classification:
  • 516.5 23 H669
Contents:
1. Quadrics -- 2. Hermitian varieties -- 3. Grassmann varieties -- 4. Veronese and Segre varieties -- 5. Embedded geometries -- 6. Ares and caps -- 7. Ovoids, spreads and m-systems of finite classical polar spaces.
Summary: 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.
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Includes bibliographical references and index.

1. Quadrics --
2. Hermitian varieties --
3. Grassmann varieties --
4. Veronese and Segre varieties --
5. Embedded geometries --
6. Ares and caps --
7. Ovoids, spreads and m-systems of finite classical polar spaces.

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.

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