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 language | English (US) |
|---|---|
| Pages (from-to) | 163-228 |
| Number of pages | 66 |
| Journal | Journal fur die Reine und Angewandte Mathematik |
| Issue number | 664 |
| DOIs | |
| State | Published - Mar 2012 |
| Externally published | Yes |