Some results about the projective normality of abelian varieties

2004/06/14 by Luis Fuentes Garcia, Luis Fuentes García, Garcia, Luis Fuentes
Mathematics · #14C20 #14K05 #14K25 #14N05 #Advanced Differential Equations and Dynamical Systems #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Tensor decomposition and applications #math.AG #msc:14C20 #msc:14K05 #msc:14K25 #msc:14N05

paper · pdf · doi:10.48550/arxiv.math/0406262

9 pages

arxiv created 2004/06/14 · openalex publication_date 2004/06/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We reduce the problem of the projective normality of polarized abelian varieties to check the rank of very explicit matrices. This allow us to prove some results on normal generation of primitive line bundles on abelian threefolds and fourfolds. We also give two situations where the projective normality always fails. Finally we make some conjecture.

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