Generation by sections and k-ampleness

2012/11/27 by Nahm, Werner, Laytimi, Fatima
Mathematics · #1991: 14F17 #Algebraic Geometry (math.AG) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.1211.6281

openalex publication_date 2012/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the article "Submanifold of abelian varieties", A.J. Sommese proved that direct sum and tensor product of two vector bundles E and F over a smooth projective variety are k-ample if E and F are k-ample and are generated by global sections. Here we show that the latter condition is not needed.

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