Projective normality of special scrolls II

2002/04/08 by Luis Fuentes Garcia, Luis Fuentes García, Garcia, Luis Fuentes +3
Mathematics · #14H25 #14H45. 14H45 #14J26 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Primary #math.AG #msc:14H25 #msc:14H45 #msc:14H45. #msc:14J26 #secondary

paper · pdf · doi:10.48550/arxiv.math/0204091

7 pages

arxiv created 2002/04/08 · openalex publication_date 2002/04/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• On the projective normality of complete linear series on an algebraic curve

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