Complex homogeneous surfaces
Benjamin McKay (University College Cork)
TL;DR
This paper classifies how connected complex Lie groups act holomorphically and transitively on complex surfaces, providing a comprehensive understanding of their symmetries and structures.
Contribution
It offers a complete classification of transitive, effective holomorphic actions of connected complex Lie groups on complex surfaces, advancing the understanding of their geometric symmetries.
Findings
Classification of transitive holomorphic actions
Identification of possible complex surfaces under these actions
Framework for analyzing symmetries of complex surfaces
Abstract
We classify the transitive, effective, holomorphic actions of connected complex Lie groups on complex surfaces.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Geometry and complex manifolds · Algebraic Geometry and Number Theory