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Algebraic Constructions of Toroidal Compactifications

Kai-Wen Lan

in Arithmetic Compactifications of PEL-Type Shimura Varieties

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691156545
eISBN:
9781400846016
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691156545.003.0006
Subject:
Mathematics, Geometry / Topology

This chapter explains the algebraic construction of toroidal compactifications. For this purpose the chapter utilizes the theory of toroidal embeddings for torsors under groups of multiplicative ... More


Algebraic Constructions of Minimal Compactifications

Kai-Wen Lan

in Arithmetic Compactifications of PEL-Type Shimura Varieties

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691156545
eISBN:
9781400846016
Item type:
chapter
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691156545.003.0007
Subject:
Mathematics, Geometry / Topology

This chapter first studies the automorphic forms that are defined as global sections of certain invertible sheaves on the toroidal compactifications. The local structures of toroidal ... More


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