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Projective normality of special scrolls II

Luis Fuentes Garcia·Manuel Pedreira Perez
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Abstract

We study the projective normality of a linearly normal special scroll R of degree d and speciality i over a smooth curve X of genus g. We relate it with the Clifford index of the base curve X. If d>=4g-2i-Cliff(X)+1, i>=3 and R is smooth, we prove that the projective normality of the scroll is equivalent to the projective normality of its directrix curve of minimum degree.

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Luis Fuentes Garcia, Manuel Pedreira Perez. 2002-04-08. Projective normality of special scrolls II. https://arxiv.org/abs/math/0204091

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