Realizations of Polylogarithms

• Κύριος συγγραφέας: Wildeshaus, Jörg (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1997.
• Έκδοση: 1st ed. 1997.
• Σειρά: Lecture Notes in Mathematics, 1650
• Θέματα: 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...

Πίνακας περιεχομένων:

• 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.