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Projective normality of special scrolls II

Algebraic Geometry 2007-05-23 v1

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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Cite

@article{arxiv.math/0204091,
  title  = {Projective normality of special scrolls II},
  author = {Luis Fuentes Garcia and Manuel Pedreira Perez},
  journal= {arXiv preprint arXiv:math/0204091},
  year   = {2007}
}

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7 pages