Name: realizations of polylogarithms
SKU: 3486248
Price: 53.61 EUR
Availability: InStock
Author: wildeshaus

Select your country

Americas

Europe

Rest of the world

Type

Physical Book

Publisher

Springer

Author

wildeshaus

Language

English

Pages

343

ISBN

3540624600

ISBN13

9783540624608

Synopsis "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 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 earlier, partly unpublished results and constructions of beilinson, deligne, and levin on the classical and elliptic polylog are generalized to the context of shimura varieties.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.