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- catalog abstract "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 Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties.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.".
- catalog contributor b10296436.
- catalog created "1997.".
- catalog date "1997".
- catalog date "1997.".
- catalog dateCopyrighted "1997.".
- catalog 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 Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties.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.".
- catalog description "Contents: Mixed Structures on Fundamental Groups -- The Canonical Construction of Mixed Sheaves on Mixed Shimura Varieties -- Polylogarithmic Extensions on Mixed Shimura Varieties: Construction an Basic Properties -- Polylogarithmic Extensions on Mixed Shimura Varieties: The Classical Polylogarithm -- Polylogarithmic Extensions on Mixed Shimura Varieties: The Elliptic Polylogarithm.".
- catalog description "Includes bibliographical references (pages 339-340) and indexes.".
- catalog extent "xi, 343 p. ;".
- catalog hasFormat "Realizations of polylogarithms.".
- catalog identifier "3540624600 (alk. paper)".
- catalog isFormatOf "Realizations of polylogarithms.".
- catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1650.".
- catalog isPartOf "Lecture notes in mathematics ; 1650".
- catalog issued "1997".
- catalog issued "1997.".
- catalog language "eng".
- catalog publisher "Berlin ; New York : Springer,".
- catalog relation "Realizations of polylogarithms.".
- catalog subject "510 s 516.3/52 21".
- catalog subject "Logarithmic functions.".
- catalog subject "Mathematics.".
- catalog subject "Number theory.".
- catalog subject "QA3 .L28 no. 1650 QA342".
- catalog tableOfContents "Contents: Mixed Structures on Fundamental Groups -- The Canonical Construction of Mixed Sheaves on Mixed Shimura Varieties -- Polylogarithmic Extensions on Mixed Shimura Varieties: Construction an Basic Properties -- Polylogarithmic Extensions on Mixed Shimura Varieties: The Classical Polylogarithm -- Polylogarithmic Extensions on Mixed Shimura Varieties: The Elliptic Polylogarithm.".
- catalog title "Realizations of polylogarithms / Jörg Wildeshaus.".
- catalog type "text".