Irreducibility of the Igusa tower
type: Item
instance of: scholarly article
title: Irreducibility of the Igusa tower
zbMATH Open document ID: 1235.11055
author: Haruzo Hida
publication date: 2009-11-11T00:00:00Z
review text: The author gives a new proof of the irreducibility of the Igusa tower over a Shimura variety of PEL-type associated to a classical group of type \(A\) or type \(C\). The novelty of the proof lies in the use of (mainly) characteristic \(p\) methods as opposed to mixed characteristic methods in other proofs by the author in [Clay Math. Proc. 13, 187--203 (2011; Zbl 1272.11081)]. The significance of characteristic \(p\) proofs is discussed in the introduction.
reviewed by: Salman Abdulali
Mathematics Subject Classification ID: 11G18
Mathematics Subject Classification ID: 11G15
Mathematics Subject Classification ID: 11G25
zbMATH DE Number: 5629478
zbMATH Keywords: Shimura variety
zbMATH Keywords: Igusa tower
zbMATH Keywords: \(p\)-adic monodromy
MaRDI profile type: Publication
full work available at URL: s10114-008-6490-z
OpenAlex ID: W2102576531
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DOI: 10.1007/S10114-008-6490-Z
published in: Acta Mathematica Sinica, English Series
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description: scientific article; zbMATH DE number 5629478