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Titlebook: Arithmetic and Geometry; Papers Dedicated to Michael Artin,John Tate Book 1983 Springer Science+Business Media New York 1983 Arithmetic.Ir

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978-0-8176-3133-8Springer Science+Business Media New York 1983
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Arithmetic and Geometry978-1-4757-9286-7Series ISSN 0743-1643 Series E-ISSN 2296-505X
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0743-1643 Overview: 978-0-8176-3133-8978-1-4757-9286-7Series ISSN 0743-1643 Series E-ISSN 2296-505X
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Rachel L. Wilkerson,Jim Q. Smithmily of algebraic varieties satisfy non-trivial universal infinitesimal period relations. In this note we shall discuss some remarkable properties of any local solution to the differential system given by the infinitesimal period relation associated to polarized Ilodge structures of weight three with Ilodge number .. = 1.
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Joseph Fiksel,Vincent T. Covellonal) flag varieties P.. associated to .. In the present paper we introduce and study the algebra F[.] of “strongly regular” functions on .. We establish a Peter-Weyl-type decomposition of F[.] with respect to the natural action of . × . (Theorem 1) and prove that F[.] is a unique factorization domain (Theorem 3).
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