Compactification of Drinfeld moduli spaces as moduli spaces of 𝐴-reciprocal maps and consequences for Drinfeld modular forms

DOI10.1090/jag/772zbMath1494.11045arXiv1903.02432OpenAlexW3111708791MaRDI QIDQ5006439

Richard Pink

Publication date: 16 August 2021

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.02432

zbMATH Keywords

Drinfeld modulesDrinfeld modular formsSatake compactificationlevel structurefine moduli space\(A\)-reciprocal maps

Mathematics Subject Classification ID

Modular forms associated to Drinfel'd modules (11F52) Drinfel'd modules; higher-dimensional motives, etc. (11G09)

Cites Work

• Drinfeld modular curves
• On power sums of polynomials over finite fields
• Compactification of Drinfeld modular varieties and Drinfeld modular forms of arbitrary rank
• Satake compactification of analytic Drinfeld modular varieties
• The algebraist’s upper half-plane
• Compactification of a Drinfeld period domain over a finite field
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