Realizations of Polylogarithms

• Main Author: Wildeshaus, Jörg (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Edition: 1st ed. 1997.
• Series: Lecture Notes in Mathematics, 1650
• Subjects: Number theory.; Number Theory.

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 founda...

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.