Generalized Clifford Parallelisms

Silvia Pianta, Stefano Pasotti, Andrea Blunck

Research output: Contribution to journalArticlepeer-review

Abstract

We define generalized Clifford parallelisms in PG(3,F) with the help of a quaternion skew field H over a field F of arbitrary characteristic. Moreover we give a geometric description of such parallelisms involving hyperbolic quadrics in projective spaces over suitable quadratic extensions of F.
Original languageEnglish
Pages (from-to)197-212
Number of pages16
JournalINNOVATIONS IN INCIDENCE GEOMETRY
Publication statusPublished - 2010

Keywords

  • parallelism
  • projective space
  • quaternions

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