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arXiv · 2412.07044

On Picard Number and Dimension of Algebraic Homogeneous Spaces

Ivan Beldiev·Dmitry Timashev
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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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Ivan Beldiev, Dmitry Timashev. 2024-12-09. On Picard Number and Dimension of Algebraic Homogeneous Spaces. https://arxiv.org/abs/2412.07044

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