| 000 | 02391nam a22004575i 4500 | ||
|---|---|---|---|
| 001 | 978-3-540-49103-3 | ||
| 003 | DE-He213 | ||
| 005 | 20160624101831.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 121227s1994 gw | s |||| 0|eng d | ||
| 020 |
_a9783540491033 _9978-3-540-49103-3 |
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| 024 | 7 |
_a10.1007/BFb0074026 _2doi |
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| 050 | 4 | _aQA150-272 | |
| 072 | 7 |
_aPBF _2bicssc |
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| 072 | 7 |
_aMAT002000 _2bisacsh |
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| 082 | 0 | 4 |
_a512 _223 |
| 100 | 1 |
_aHerzog, Bernd. _eauthor. |
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| 245 | 1 | 0 |
_aKodaira-Spencer Maps in Local Algebra _h[electronic resource] / _cby Bernd Herzog. |
| 260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1994. |
|
| 264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c1994. |
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| 300 |
_aXVIII, 182 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 ; _v1597 |
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| 505 | 0 | _aRing filtrations -- Basic lemmas -- Tangential flatness under base change -- Relation to flatness -- Distinguished bases -- Hilbert series -- Flatifying filtrations -- Kodaira-Spencer maps -- Inequalities related with flat couples of local rings -- On the local rings of the Hilbert scheme. | |
| 520 | _aThe monograph contributes to Lech's inequality - a 30-year-old problem of commutative algebra, originating in the work of Serre and Nagata, that relates the Hilbert function of the total space of an algebraic or analytic deformation germ to the Hilbert function of the parameter space. A weakened version of Lech's inequality is proved using a construction that can be considered as a local analog of the Kodaira-Spencer map known from the deformation theory of compact complex manifolds. The methods are quite elementary, and will be of interest for researchers in deformation theory, local singularities and Hilbert functions. | ||
| 650 | 0 | _aMathematics. | |
| 650 | 0 | _aAlgebra. | |
| 650 | 1 | 4 | _aMathematics. |
| 650 | 2 | 4 | _aAlgebra. |
| 710 | 2 | _aSpringerLink (Online service) | |
| 773 | 0 | _tSpringer eBooks | |
| 776 | 0 | 8 |
_iPrinted edition: _z9783540587903 |
| 786 | _dSpringer | ||
| 830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1597 |
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| 856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/BFb0074026 |
| 942 |
_2EBK1736 _cEBK |
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| 999 |
_c31030 _d31030 |
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