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On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173) /

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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Detalles Bibliográficos
Autor principal: Morel, Sophie, 1979-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton : Princeton University Press, 2010.
Colección:Book collections on Project MUSE.
Temas:
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource.
ISBN:9781400835393