On the Cohomology of Certain Non-Compact Shimura Varieties

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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 ...

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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 ...

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  • Formats: pdf
  • ISBN: 9781400835393
  • Publication Date: 4 Jan 2010
  • Publisher: Princeton University Press
  • Product language: English
  • Drm Setting: DRM