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Synopsis
Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the "polylogarithm". The aim of the book is to document the sheaf-theoretical foundations of the field of polylogarithms. Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties. The reader is expected to have a sound background in algebraic geometry. Large parts of the book are expository, and intended as a reference for the working mathematician. Where a self-contained exposition was not possible, the author gives references in order to make the material accessible for advanced graduate students.
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Realizations of Polylogarithms
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Realizations of Polylogarithms
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Realizations of Polylogarithms (Lecture Notes in Mathematics, 1650)
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Realizations of Polylogarithms
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Realizations of polylogarithms. Lecture Notes in Mathematics; 1650.
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Realizations of Polylogarithms (Lecture Notes in Mathematics, 1650, Band 1650)
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Berlin. Springer Verlag., 1997
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Realizations of Polylogarithms
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Springer Berlin Heidelberg, Springer Berlin Heidelberg Feb 1997, 1997
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Classically, higher logarithms appear as multivalued functions on the projective line. Today they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the 'polylogarithm'. The aim of the book is to document the sheaf-theoretical foundations of the field of polylogarithms. Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties. The reader is expected to have a sound background in algebraic geometry. Large parts of the book are expository, and intended as a reference for the working mathematician. Where a self-contained exposition was not possible, the author gives references in order to make the material accessible for advanced graduate students. 356 pp. Englisch. Seller Inventory # 9783540624608
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