摘要

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.

  • 出版日期2012-3