Journal of Algebraic Geometry

Author(s): Paola Bonacini
Journal: J. Algebraic Geom. 18 (2009), 459-475.
Posted: July 3, 2008
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is a curve of degree

in $\mathbb{P}^3$ over an algebraically closed field of characteristic 0 such that its plane section is contained in an irreducible curve of degree

, then

lies on a surface of degree

. We show that the same result does not hold in positive characteristic and we find different bounds

which ensure that

is contained in a surface of degree

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