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Realizations of Polylogarithms / by Jörg Wildeshaus
(Lecture Notes in Mathematics. ISSN:16179692 ; 1650)
版 | 1st ed. 1997. |
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出版者 | (Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer) |
出版年 | 1997 |
本文言語 | 英語 |
大きさ | XII, 344 p : online resource |
著者標目 | *Wildeshaus, Jörg author SpringerLink (Online service) |
件 名 | LCSH:Number theory FREE:Number Theory |
一般注記 | 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 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 Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties.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 HTTP:URL=https://doi.org/10.1007/BFb0093051 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9783540497288 |
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EB00235802 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA241-247.5 DC23:512.7 |
書誌ID | 4000109593 |
ISBN | 9783540497288 |
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