Realizations of Polylogarithms (Record no. 31059)

000 -LEADER
fixed length control field 02723nam a22004575i 4500
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
ISBN 9783540497288
-- 978-3-540-49728-8
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 512.7
100 1# - MAIN ENTRY--AUTHOR NAME
Personal name Wildeshaus, Jörg.
245 10 - TITLE STATEMENT
Title Realizations of Polylogarithms
Statement of responsibility, etc by Jörg Wildeshaus.
260 #1 - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication Berlin, Heidelberg :
Name of publisher Springer Berlin Heidelberg,
Year of publication 1997.
300 ## - PHYSICAL DESCRIPTION
Number of Pages XII, 344 p.
Other physical details online resource.
490 1# - SERIES STATEMENT
Series statement Lecture Notes in Mathematics,
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note 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.
520 ## - SUMMARY, ETC.
Summary, etc 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 Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties.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.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Number theory.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Mathematics.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical Term Number Theory.
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/BFb0093051
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type E-BOOKS
264 #1 -
-- Berlin, Heidelberg :
-- Springer Berlin Heidelberg,
-- 1997.
336 ## -
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830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
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Holdings
Withdrawn status Lost status Damaged status Not for loan Current library Accession Number Uniform Resource Identifier Koha item type
        IMSc Library EBK1765 http://dx.doi.org/10.1007/BFb0093051 E-BOOKS
The Institute of Mathematical Sciences, Chennai, India

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