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Realizations of Polylogarithms (Lecture Notes in Mathematics, 1650, Band 1650) - Softcover

Wildeshaus, Jörg

 
9783540624608: Realizations of Polylogarithms (Lecture Notes in Mathematics, 1650, Band 1650)
Softcover
ISBN 10: 3540624600 ISBN 13: 9783540624608
Verlag: Springer, 2009

Inhaltsangabe

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 Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties.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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Verlag
Springer
Erscheinungsdatum
2009
Sprache
Englisch
ISBN 10 
3540624600
ISBN 13 
9783540624608
Einband
Taschenbuch
Anzahl der Seiten
356
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