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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Realizations of Polylogarithms

Realizations of Polylogarithms

Wildeshaus, Jörg

Paperback

Series: Lecture Notes in Mathematics, Book 1650

General MathematicsGeometry

ISBN10: 3540624600
ISBN13: 9783540624608
Publisher: Springer Nature
Published: Feb 20 1997
Pages: 344
Weight: 1.10
Height: 0.74 Width: 6.14 Depth: 9.21
Language: English
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 Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties.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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