Minimalité des courbes sous-canoniques

Details Minimalité des courbes sous-canoniques Minimalité des courbes sous-canoniques

2001-02-28

arxiv.org/abs/math/0102221v1

Mathematics

Algebraic Geometry

10 pages,TeX

Scientific paper

We prove the following result : Let $E$ be a rank 2 bundle on ${\bf P}$, the
projective space of dimension 3, and $n$ a relative number such that
$H^0E(n-1)=0$ and $H^0E(n)\neq 0$. Let $C$ be a curve which is the zero locus
of a section of $H^0E(n)$. Then $C$ is minimal in its biliaison class.

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