The elliptic KZB connection and algebraic de Rham theory for unipotent fundamental groups of elliptic curves

DOI10.2140/ant.2019.13.2243zbMath1472.11183arXiv1710.07691OpenAlexW2766390287WikidataQ126404691 ScholiaQ126404691MaRDI QIDQ2287648

Ma Luo

Publication date: 21 January 2020

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07691

zbMATH Keywords

algebraic de Rham theoryelliptic KZB connectionunipotent fundamental groups

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) de Rham cohomology and algebraic geometry (14F40) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34)

Related Items (2)

Algebraic de Rham theory for the relative completion of 𝑆𝐿₂(ℤ) ⋮ UNIVERSAL MIXED ELLIPTIC MOTIVES

Cites Work

• The de Rham homotopy theory of complex algebraic varieties. II
• Periods of modular forms and Jacobi theta functions
• A Tannakian interpretation of the elliptic infinitesimal braid Lie algebras
• Lectures on Moduli Spaces of Elliptic Curves
• Arithmetic Moduli of Elliptic Curves. (AM-108)
• On a generalization of Hilbert's 21st problem
• Universal KZB Equations: The Elliptic Case
• UNIVERSAL MIXED ELLIPTIC MOTIVES

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