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Pencils of Quadrics

In: The Universe of Quadrics

Author

Listed:
  • Boris Odehnal

    (University of Applied Arts Vienna, Department of Geometry)

  • Hellmuth Stachel

    (Vienna University of Technology, Institute of Discrete Mathematics and Geometry)

  • Georg Glaeser

    (University of Applied Arts Vienna, Department of Geometry)

Abstract

Pencils of quadrics can be classified by means of the number, type, and configuration of singular quadrics in the pencil. The generic pencil of quadrics contains four singular quadrics which are quadratic cones. The thirteen types of pencils will be discussed in detail in this section.

Suggested Citation

  • Boris Odehnal & Hellmuth Stachel & Georg Glaeser, 2020. "Pencils of Quadrics," Springer Books, in: The Universe of Quadrics, chapter 0, pages 177-204, Springer.
    • Handle: RePEc:spr:sprchp:978-3-662-61053-4_5
    DOI: 10.1007/978-3-662-61053-4_5
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