Overview

Classically, higher logarithms appear as multivalued fuction on the projective line. More recently they can be interpreted as entries of the period matrix of a certain variation of Hodge structure, itself called the ""polylogarithm"". Documenting the sheaf-theoretical foundations of the field of polylogarithms, this text assumes a sound background in algebraic geometry. Large parts of the text are intended as a reference for the working mathematician. Where a self-contained explanation was not possible, the author gives references in order to make the material accessible for advanced graduate students.

Full Product Details

Author:   Jörg Wildeshaus
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1997 ed.
Volume:   1650
Dimensions:   Width: 15.50cm , Height: 1.80cm , Length: 23.50cm
Weight:   1.100kg
ISBN:  

9783540624608

ISBN 10:   3540624600
Pages:   344
Publication Date:   20 February 1997
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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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.

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