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• W3047345821 abstract "Let $F_infty=mathbb{F}_q(!(1/T)!)$ be the completion of $mathbb{F}_q(T)$ at $1/T$. We develop a theory of Fourier expansions for harmonic cochains on the edges of the Bruhat-Tits building of $mathrm{PGL}_r(F_infty)$, $rgeq 2$, generalizing an earlier construction of Gekeler for $r=2$. We then apply this theory to study modular units on the Drinfeld symmetric space $Omega^r$ over $F_infty$, and the cuspidal divisor groups of Satake compactifications of certain Drinfeld modular varieties. In particular, we obtain a higher dimensional analogue of a result of Ogg for classical modular curves $X_0(p)$ of prime level." @default.
• W3047345821 created "2020-08-10" @default.
• W3047345821 creator A5008204015 @default.
• W3047345821 creator A5021892978 @default.
• W3047345821 date "2022-12-27" @default.
• W3047345821 modified "2023-10-16" @default.
• W3047345821 title "Drinfeld discriminant function and Fourier expansion of harmonic cochains" @default.
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• W3047345821 doi "https://doi.org/10.1007/s00208-022-02549-8" @default.
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