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arxiv: math/0203257 · v1 · submitted 2002-03-25 · 🧮 math.AG

Projective normality of special scrolls

classification 🧮 math.AG
keywords normalityprojectivecurvedegreescrollspecialdirectrixequivalent
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We study the projective normality of a linearly normal special scroll R of degree d and speciality i over a smooth curve of genus g. If d>=4g-2i+1, 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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