000 | 03069nam a22004815i 4500 | ||
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001 | 978-3-540-46125-8 | ||
003 | DE-He213 | ||
005 | 20190213151812.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1989 gw | s |||| 0|eng d | ||
020 |
_a9783540461258 _9978-3-540-46125-8 |
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024 | 7 |
_a10.1007/BFb0098406 _2doi |
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050 | 4 | _aQA564-609 | |
072 | 7 |
_aPBMW _2bicssc |
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072 | 7 |
_aMAT012010 _2bisacsh |
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072 | 7 |
_aPBMW _2thema |
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082 | 0 | 4 |
_a516.35 _223 |
100 | 1 |
_aHübl, Reinhold. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aTraces of Differential Forms and Hochschild Homology _h[electronic resource] / _cby Reinhold Hübl. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1989. |
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300 |
_aVI, 118 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 ; _v1368 |
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505 | 0 | _aThe Hochschild homology and the Hochschild cohomology of a topological algebra -- Differential forms and Hochschild homology -- Traces in Hochschild homology -- Traces of Differential Forms -- Traces in complete intersections -- The topological residue homomorphism -- Trace formulas for residues of differential forms. | |
520 | _aThis monograph provides an introduction to, as well as a unification and extension of the published work and some unpublished ideas of J. Lipman and E. Kunz about traces of differential forms and their relations to duality theory for projective morphisms. The approach uses Hochschild-homology, the definition of which is extended to the category of topological algebras. Many results for Hochschild-homology of commutative algebras also hold for Hochschild-homology of topological algebras. In particular, after introducing an appropriate notion of completion of differential algebras, one gets a natural transformation between differential forms and Hochschild-homology of topological algebras. Traces of differential forms are of interest to everyone working with duality theory and residue symbols. Hochschild-homology is a useful tool in many areas of k-theory. The treatment is fairly elementary and requires only little knowledge in commutative algebra and algebraic geometry. | ||
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aAnalysis. _0http://scigraph.springernature.com/things/product-market-codes/M12007 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662198612 |
776 | 0 | 8 |
_iPrinted edition: _z9783540509851 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1368 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0098406 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c11937 _d11937 |