论文信息 - On finite Steiner surfaces

On finite Steiner surfaces

Unlike the real case, for each q power of a prime it is possible to injectively project the quadric Veronesean of PG(5,q) into a solid or even a plane. Here a finite analogue of the Roman surface of J. Steiner is described. Such an analogue arises from an embedding @s of PG(2,q) into PG(3,q) mapping any line onto a non-singular conic. Its image PG(2,q)^@s has a nucleus, say T"@s, arising from three points of PG(2,q^3) forming an orbit of the Frobenius collineation.

Corrado Zanella | Corrado Zanella

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