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| 001 | 978-3-540-46941-4 | ||
| 003 | DE-He213 | ||
| 005 | 20190213151207.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1990 gw | s |||| 0|eng d | ||
| 020 |
_a9783540469414 _9978-3-540-46941-4 |
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| 024 | 7 |
_a10.1007/BFb0085080 _2doi |
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| 050 | 4 | _aQA241-247.5 | |
| 072 | 7 |
_aPBH _2bicssc |
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_aMAT022000 _2bisacsh |
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_aPBH _2thema |
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| 082 | 0 | 4 |
_a512.7 _223 |
| 100 | 1 |
_aJannsen, Uwe. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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| 245 | 1 | 0 |
_aMixed Motives and Algebraic K-Theory _h[electronic resource] / _cby Uwe Jannsen. |
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1990. |
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| 300 |
_aXIV, 250 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 ; _v1400 |
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| 505 | 0 | _aMixed motives for absolute hodge cycles -- Algebraic cycles, K-theory, and extension classes -- K-theory and ?-adic cohomology. | |
| 520 | _aThe relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, and tensor categories. One thus arrives at generalizations to arbitrary varieties of the Hodge and Tate conjectures to explicit conjectures on l-adic Chern characters for global fields and to certain counterexamples for more general fields. It is to be hoped that these relations ions will in due course be explained by a suitable tensor category of mixed motives. An approximation to this is constructed in the setting of absolute Hodge cycles, by extending this theory to arbitrary varieties. The book can serve both as a guide for the researcher, and as an introduction to these ideas for the non-expert, provided (s)he knows or is willing to learn about K-theory and the standard cohomology theories of algebraic varieties. | ||
| 650 | 0 | _aNumber theory. | |
| 650 | 1 | 4 |
_aNumber Theory. _0http://scigraph.springernature.com/things/product-market-codes/M25001 |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
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_iPrinted edition: _z9783662203934 |
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_iPrinted edition: _z9783540522607 |
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1400 |
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| 856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0085080 |
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| 912 | _aZDB-2-LNM | ||
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