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.
Pianta, S., Blunck, A., Pasotti, S., Generalized Clifford Parallelisms, <<INNOVATIONS IN INCIDENCE GEOMETRY>>, 2011; (11): 197-212 [http://hdl.handle.net/10807/8026]
Generalized Clifford Parallelisms
Pianta, Silvia;Pasotti, Stefano
2010
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.
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