On the cohomology of certain noncompact Shimura varieties /:

This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois g...

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1. Verfasser: Morel, Sophie, 1979-
Format: Elektronisch E-Book
Sprache:English
Veröffentlicht: Princeton : Princeton University Press, ©2010.
Schriftenreihe:Annals of mathematics studies ; no. 173.
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Online-Zugang:Volltext
Zusammenfassung:This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries commuting actions of the absolute Galois group of the reflex field and of the group G(Af) of finite adelic points of G. The second action can be studied on the set of complex points of the Shimura variety. In this book, Sophie Morel identifies the Galois action--at good places--on the G(Af)-isotypical components of the cohomology. Morel use.
Beschreibung:1 online resource (xi, 217 pages)
Bibliographie:Includes bibliographical references and index.
ISBN:9781400835393
1400835399

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