Representability of Moduli Problems

In this chapter, let us assume the same setting as in Section 1.4. Let us fix a choice of an open compact subgroup$\mathcal{H} \subset G({\widehat\mathbb{Z}^\square })$. Our main objective is to prove Theorem 1.4.1.11, with Proposition 2.3.5.2 as a by-product. Technical results worth noting are Prop...

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Bibliographic Details
Published inArithmetic Compactifications of PEL-Type Shimura Varieties pp. 91 - 142
Main Author Lan, Kai-Wen
Format Book Chapter
LanguageEnglish
Published United States Princeton University Press 21.03.2013
Subjects
Abstract algebra
Abstract spaces
Algebra
Algebraic geometry
Applied mathematics
Applied statistics
Automorphisms
Category theory
Dimensional analysis
Dimensionality
Geometric shapes
Geometry
Homomorphisms
Mathematics
Morphisms
Pure mathematics
Statistical physics
Statistics
Topological spaces
Topology
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ISBN9780691156545
0691156549
DOI10.1515/9781400846016.91

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Summary:In this chapter, let us assume the same setting as in Section 1.4. Let us fix a choice of an open compact subgroup$\mathcal{H} \subset G({\widehat\mathbb{Z}^\square })$. Our main objective is to prove Theorem 1.4.1.11, with Proposition 2.3.5.2 as a by-product. Technical results worth noting are Proposition 2.1.6.8 and Corollary 2.2.4.12. The proof of Theorem 1.4.1.11 is carried out by verifying Artin’s criterion in Section 2.3.4 (see, in particular, Theorems B.3.7, B.3.9, and B.3.11). For readers who might have wondered, let us make it clear that we will not need Condition 1.4.3.10 in this chapter. Let us outline the strategy of
ISBN:9780691156545
0691156549
DOI:10.1515/9781400846016.91