000 02723nam a22004575i 4500
001 978-3-540-49728-8
003 DE-He213
005 20160624101832.0
007 cr nn 008mamaa
008 121227s1997 gw | s |||| 0|eng d
020 _a9783540497288
_9978-3-540-49728-8
024 7 _a10.1007/BFb0093051
_2doi
050 4 _aQA241-247.5
072 7 _aPBH
_2bicssc
072 7 _aMAT022000
_2bisacsh
082 0 4 _a512.7
_223
100 1 _aWildeshaus, Jörg.
_eauthor.
245 1 0 _aRealizations of Polylogarithms
_h[electronic resource] /
_cby Jörg Wildeshaus.
260 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1997.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c1997.
300 _aXII, 344 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1650
505 0 _aMixed 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 _aClassically, 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 Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties.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 _aMathematics.
650 0 _aNumber theory.
650 1 4 _aMathematics.
650 2 4 _aNumber Theory.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540624608
786 _dSpringer
830 0 _aLecture Notes in Mathematics,
_x0075-8434 ;
_v1650
856 4 0 _uhttp://dx.doi.org/10.1007/BFb0093051
942 _2EBK1765
_cEBK
999 _c31059
_d31059