Satake compactification of analytic Drinfeld modular varieties

DOI10.1016/j.jnt.2020.09.018zbMath1466.11036OpenAlexW3006577889MaRDI QIDQ2212620

Simon Häberli

Publication date: 24 November 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.09.018

zbMATH Keywords

compactificationDrinfeld modulesrigid analytic geometryDrinfeld modular formsfunction field arithmeticDrinfeld moduli schemesDrinfeld upper half space

Mathematics Subject Classification ID

Arithmetic aspects of modular and Shimura varieties (11G18) Modular forms associated to Drinfel'd modules (11F52) Drinfel'd modules; higher-dimensional motives, etc. (11G09) Compactifications; symmetric and spherical varieties (14M27)

Related Items

From the Carlitz exponential to Drinfeld modular forms ⋮ Primitive submodules for Drinfeld modules ⋮ On Drinfeld modular forms of higher rank IV: modular forms with level ⋮ Compactification of Drinfeld moduli spaces as moduli spaces of 𝐴-reciprocal maps and consequences for Drinfeld modular forms ⋮ On Drinfeld modular forms of higher rank and quasi-periodic functions

Cites Work

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• Formal and rigid geometry. I: Rigid spaces
• The cohomology of \(p\)-adic symmetric spaces
• Compactification of Drinfeld modular varieties and Drinfeld modular forms of arbitrary rank
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• Compactification of arithmetic quotients of bounded symmetric domains
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• Compactification of the Drinfeld modular surfaces
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• Der erste Riemannsche Hebbarkeitssatz im nichtarchimedischen Fall.
• Compactification of a Drinfeld period domain over a finite field
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