Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties

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Abstract

Using explicit identifications between algebraic and analytic theta functions, we compare the algebraic constructions of toroidal compactifications by Faltings-Chai and the author, with the analytic constructions of toroidal compactifications following Ash-Mumford-Rapoport-Tai. As one of the applications, we obtain the corresponding comparison for Fourier-Jacobi expansions of holomorphic automorphic forms.

Original languageEnglish (US)
Pages (from-to)163-228
Number of pages66
JournalJournal fur die Reine und Angewandte Mathematik
Issue number664
DOIs
StatePublished - Mar 1 2012
Externally publishedYes

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