000 | 02723nam a22004575i 4500 | ||
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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 |
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024 | 7 |
_a10.1007/BFb0093051 _2doi |
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050 | 4 | _aQA241-247.5 | |
072 | 7 |
_aPBH _2bicssc |
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072 | 7 |
_aMAT022000 _2bisacsh |
|
082 | 0 | 4 |
_a512.7 _223 |
100 | 1 |
_aWildeshaus, Jörg. _eauthor. |
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245 | 1 | 0 |
_aRealizations of Polylogarithms _h[electronic resource] / _cby Jörg Wildeshaus. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1997. |
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264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1997. |
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300 |
_aXII, 344 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1650 |
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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 Earlier, partly unpublished results and constructions of Beilinson, Deligne, and Levin on the classical and elliptic polylog are generalized to the context of Shimura varieties.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 |
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856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0093051 |
942 |
_2EBK1765 _cEBK |
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999 |
_c31059 _d31059 |