Algebro-Geometric Analysis of Iterated Means
Research Paper#Mathematics (Algebraic Geometry, Complex Analysis)🔬 Research|Analyzed: Jan 3, 2026 16:34•
Published: Dec 26, 2025 11:59
•1 min read
•ArXivAnalysis
This paper explores the iterated limit of a quaternary of means using algebro-geometric techniques. It connects this limit to the period map of a cyclic fourfold covering, the complex ball, and automorphic forms. The construction of automorphic forms and the connection to Lauricella hypergeometric series are significant contributions. The analogy to Jacobi's formula suggests a deeper connection between different mathematical areas.
Key Takeaways
- •Applies algebro-geometric methods to analyze the iterated limit of a quaternary of means.
- •Connects the problem to the complex ball and automorphic forms.
- •Constructs automorphic forms and relates them to the inverse of the period map.
- •Expresses the iterated limit using the Lauricella hypergeometric series.
- •Draws an analogy to Jacobi's formula, suggesting deeper mathematical connections.
Reference / Citation
View Original"The paper constructs four automorphic forms on the complex ball and relates them to the inverse of the period map, ultimately expressing the iterated limit using the Lauricella hypergeometric series."