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Quadrilateral Sets and Liftings

In: Perspectives on Projective Geometry

Author

Listed:
  • Jürgen Richter-Gebert

    (TU München, Zentrum Mathematik (M10) LS Geometrie)

Abstract

In this chapter we will focus on an important concept of projective geometry: quadrilateral sets. On the one hand, these configurations can be considered a generalization of harmonic points. On the other hand, they have a close relation-ship to the liftability of lower-dimensional point configurations to prescribed higher-dimensional scenarios. Their algebraic counterparts also expose highly symmetric (almost rhythmic) structures coming from the interplay of the six intersections of four lines.

Suggested Citation

  • Jürgen Richter-Gebert, 2011. "Quadrilateral Sets and Liftings," Springer Books, in: Perspectives on Projective Geometry, chapter 8, pages 129-143, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-17286-1_8
    DOI: 10.1007/978-3-642-17286-1_8
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