On the geometry of commuting polarities

نویسندگان

  • Antonio Cossidente
  • Marialuisa J. de Resmini
  • Giuseppe Marino
چکیده

Some connections between the rational curve K := {(1, t, t q+1 | t ∈ GF (q 2))}∪ {(0, 0, 1)} and regular symplectic spreads of P G(3, q), q even, are presented by using some geometry and combinatorics of symplectic polarities commuting with unitary polarities. Some results on the geometry of commuting orthogonal and unitary polarities will be also discussed.

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عنوان ژورنال:
  • Eur. J. Comb.

دوره 28  شماره 

صفحات  -

تاریخ انتشار 2007