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Periods of Quaternionic Shimura Varieties. I. Bobby J. Smith II As part of APA's Division

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As part of APA's Division 56 series

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Periods of Quaternionic Shimura Varieties. I. Bobby J. Smith II As part of APA's DivisionThis book formulates a new conjecture about quadratic periods of automorphic forms on quaternion algebras, which is an integral refinement of Shimura's algebraicity conjectures on these periods. It also provides a strategy to attack this conjecture by reformulating it in terms of integrality properties of the theta correspondence for quaternionic unitary groups. The methods and constructions of the book are expected to have applications to other

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