Abstract
AbstractWe prove that if
$C$
is a reflexive smooth plane curve of degree
$d$
defined over a finite field
$\mathbb{F}_{q}$
with
$d\leqslant q+1$
, then there is an
$\mathbb{F}_{q}$
-line
$L$
that intersects
$C$
transversely. We also prove the same result for non-reflexive curves of degree
$p+1$
and
$2p+1$
when
$q=p^{r}$
.
Publisher
Canadian Mathematical Society
Cited by
4 articles.
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