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OverviewHigh Quality Content by WIKIPEDIA articles! In mathematics, a Shimura variety is an analogue of a modular curve, and is (roughly) a quotient of an Hermitian symmetric space by a congruence subgroup of an algebraic group. The simplest example is the quotient of the upper half-plane by SL2(Z). The term Shimura variety applies to the higher-dimensional case, in the case of one-dimensional varieties one speaks of Shimura curves. Such algebraic varieties, formed by compactification of selected quotients of that type, were introduced in a series of papers of Goro Shimura during the 1960s. Shimura's approach was largely phenomenological, pursuing the widest generalizations of the reciprocity law formulation of complex multiplication theory, in his book (see references). In retrospect, the name Shimura variety was introduced, to recognise that these varieties form the appropriate higher-dimensional class of complex manifolds building on the idea of modular curve. Abstract characterizations were introduced, to the effect that Shimura varieties are parameter spaces of certain types of Hodge structures. Full Product DetailsAuthor: Lambert M. Surhone , Miriam T. Timpledon , Susan F. MarsekenPublisher: VDM Publishing House Imprint: VDM Publishing House Dimensions: Width: 22.90cm , Height: 0.40cm , Length: 15.20cm Weight: 0.111kg ISBN: 9786131209987ISBN 10: 6131209987 Pages: 66 Publication Date: 12 August 2010 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |