On Drinfeld modular forms of higher rank. VI: The simplicial complex associated with a coefficient form

DOI10.1016/j.jnt.2023.05.004arXiv2208.09908MaRDI QIDQ6111202

Ernst-Ulrich Gekeler

Publication date: 3 August 2023

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

Full work available at URL: https://arxiv.org/abs/2208.09908

zbMATH Keywords

Drinfeld modular formsBruhat-Tits buildingcoefficient formssimpliciality

Mathematics Subject Classification ID

Theta series; Weil representation; theta correspondences (11F27) Modular forms associated to Drinfel'd modules (11F52) Rigid analytic geometry (14G22) Positive characteristic ground fields in algebraic geometry (14G17)

Cites Work

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• On the coefficients of Drinfeld modular forms
• On Drinfeld modular forms of higher rank. III: The analogue of the \(k/12\)-formula
• On Drinfeld modular forms of higher rank. V: the behavior of distinguished forms on the fundamental domain
• On Drinfeld modular forms of higher rank II.
• On Drinfeld modular forms of higher rank IV: modular forms with level
• Towers of \(\mathrm{GL}(r)\)-type of modular curves
• Reductive groups over a local field
• ZERO DISTRIBUTION AND DECAY AT INFINITY OF DRINFELD MODULAR COEFFICIENT FORMS
• Introduction to Lie Algebras and Representation Theory

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