Realizations of polylogarithms
Author(s)
Bibliographic Information
Realizations of polylogarithms
（Lecture notes in mathematics, 1650）
Springer-Verlag, c1997
Available at / 87 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
L/N||LNM||1650RM970327
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
516.352/W6462070401266
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Note
Includes indexes of notations and bibliographies at each end of chapters, and index at end of volume
Description and Table of Contents
Description
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 Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties.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.
Table of Contents
Mixed structures on fundamental groups.- The canonical construction of mixed sheaves on mixed shimura varieties.- Polylogarithmic extensions on mixed shimura varieties. Part I: Construction and basic properties.- Polylogarithmic extensions on mixed shimura varieties. part II: The classifical polylogarithm.- Polygogarithmic extensions on mixed shimura varieties. Part III: The elliptic polygogarithm.
by "Nielsen BookData"
