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A Remark on Quadrics in Projective Klingenberg Spaces over a Certain Local Algebra

Author

Listed:
  • Marek Jukl

    (Department of Algebra and Geometry, Faculty of Science, Palacký University Olomouc, 71146 Olomouc, Czech Republic)

Abstract

This article is devoted to some polar properties of quadrics in the projective Klingenberg spaces over a local ring which is a linear algebra generated by one nilpotent element. In this case, polar subspaces are described; the notion “degree of neighborhood” is used for the geometric description of polar subspaces of quadrics. The polarity induced by a quadric is also studied.

Suggested Citation

  • Marek Jukl, 2020. "A Remark on Quadrics in Projective Klingenberg Spaces over a Certain Local Algebra," Mathematics, MDPI, vol. 8(12), pages 1-7, December.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:12:p:2168-:d:457144
    as

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