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Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties
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Kai-Wen Lan
Published/Copyright:
July 14, 2011
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.
Received: 2010-01-25
Revised: 2010-08-27
Published Online: 2011-07-14
Published in Print: 2012-03
©[2012] by Walter de Gruyter Berlin Boston
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- Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds
- Local diophantine properties of modular curves of 𝒟-elliptic sheaves
- Uniform vector bundles on Fano manifolds and applications
- Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties
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Articles in the same Issue
- Towards the smoothness of optimal maps on Riemannian submersions and Riemannian products (of round spheres in particular)
- The skew-torsion holonomy theorem and naturally reductive spaces
- On the equality between homological and cohomological dimension of groups
- On Néron class groups of abelian varieties
- Multiplicative Diophantine exponents of hyperplanes and their nondegenerate submanifolds
- Local diophantine properties of modular curves of 𝒟-elliptic sheaves
- Uniform vector bundles on Fano manifolds and applications
- Comparison between analytic and algebraic constructions of toroidal compactifications of PEL-type Shimura varieties
- Rigidity of entire self-shrinking solutions to curvature flows
