Realizations of Polylogarithms

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...

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Détails bibliographiques
Auteur principal: Wildeshaus, Jörg, 1965-...., mathématicien
Format: Livre numérique
Langue:Anglais
Publié: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Collection:Lecture notes in mathematics 1650
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Edition sous un autre format:• Realizations of polylogarithms, Jörg Wildeshaus, 1997, Berlin, Springer, 1 volume (XI-343 pages), Lecture notes in mathematics, 3-540-62460-0
• Realizations of Polylogarithms, Texte imprimé, 9783662162996
Table des matières:
  • 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.