It is proven a generalization of a result of M. Hall of 1974: in the cyclic model of PG(n,q), the additive inverse of a line is a (q+1)-arc if n+1 is a prime and q+1>n. It is also shown that the additive inverse of a line is always a normal rational curve in some subspace.
The cyclic model for PG (n, q) and a construction of arcs
FAINA, Giorgio;MARCUGINI, Stefano;PAMBIANCO, Fernanda
2002
Abstract
It is proven a generalization of a result of M. Hall of 1974: in the cyclic model of PG(n,q), the additive inverse of a line is a (q+1)-arc if n+1 is a prime and q+1>n. It is also shown that the additive inverse of a line is always a normal rational curve in some subspace.File in questo prodotto:
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