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.
Generalized Clifford parallelisms
PASOTTI, Stefano;
2010-01-01
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.File in questo prodotto:
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