Projective normality of abelian surfaces of type (1,2d)

2003/06/03 by Luis Fuentes Garcia, Luis Fuentes García, Garcia, Luis Fuentes
Computer Science · Mathematics · #14E20 #14K05 #14N05 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Polynomial and algebraic computation #math.AG #msc:14E20 #msc:14K05 #msc:14N05

paper · pdf · doi:10.48550/arxiv.math/0306058

14 pages

openalex publication_date 2003/06/03 · arxiv created 2003/12/02 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that an abelian surface embedded in P^N by a very ample line bundle L of type (1,2d) is projectively normal if and only if d>=4. This completes the study of the projective normality of abelian surfaces embedded by complete linear systems.

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