Hyperplane sections of linearly normal curves

Ballico, E.

doi:10.1090/S0002-9939-1994-1213855-5

Hyperplane sections of linearly normal curves
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Proc. Amer. Math. Soc. 122 (1994), 395-398 Request permission

Abstract:

A particular case of the results proved here is that a general set of d points in ${{\mathbf {P}}^{r - 1}}(k)$ is not the hyperplane section of a linearly normal, locally complete intersection curve in ${{\mathbf {P}}^r}(k)$ if $r \geq 6,d \geq \max (15,r + 3)$, and the characteristic of k is zero.

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Hyperplane sections of curves of small genus