By Jörg Wildeshaus
Classically, better logarithms look as multivalued features at the projective line. at the present time they are often interpreted as entries of the interval matrix of a undeniable version of Hodge constitution, itself known as the "polylogarithm". the purpose of the e-book is to record the sheaf-theoretical foundations of the sector of polylogarithms. prior, in part unpublished effects and structures of Beilinson, Deligne, and Levin at the classical and elliptic polylog are generalized to the context of Shimura forms. The reader is predicted to have a legitimate historical past in algebraic geometry. huge elements of the publication are expository, and meant as a reference for the operating mathematician. the place a self-contained exposition used to be impossible, the writer offers references for you to make the fabric obtainable for complex graduate scholars.
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