2019/12/16 by Sándor J. Kovács, Kovács, Sándor J
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Rings, Modules, and Algebras
paper · pdf · doi:10.48550/arxiv.1912.07231
openalex publication_date 2019/12/16 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28
In this note I extend two theorems of Sommese regarding abelian varieties to arbitrary characteristic; that an abelian variety cannot be an ample divisor in a smooth projective variety and that a cone over an abelian variety of dimension at least two is not smoothable.