On Picard Number and Dimension of Algebraic Homogeneous Spaces

2024/12/09 by Ivan Beldiev, Beldiev, Ivan, Timashev, Dmitry
Engineering · Mathematics · #17B20 #Advanced Numerical Analysis Techniques #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Mathematics and Applications #Primary 14L30 #Secondary 20G07

paper · pdf · doi:10.48550/arxiv.2412.07044

openalex publication_date 2024/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An algebraic variety X is called a homogeneous space if there exists a transitive regular action of an algebraic group on X. We prove inequalities between the dimension of a homogeneous space of a linear algebraic group and its Picard number.

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