000 | 03290nam a22004935i 4500 | ||
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001 | 978-3-540-39153-1 | ||
003 | DE-He213 | ||
005 | 20190213151836.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1988 gw | s |||| 0|eng d | ||
020 |
_a9783540391531 _9978-3-540-39153-1 |
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024 | 7 |
_a10.1007/BFb0078937 _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 |
_aLaudal, Olav Arnfinn. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aLocal Moduli and Singularities _h[electronic resource] / _cby Olav Arnfinn Laudal, Gerhard Pfister. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1988. |
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300 |
_aVIII, 120 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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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1310 |
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505 | 0 | _aThe prorepresenting substratum of the formal moduli -- Automorphisms of the formal moduli -- The kodaira-spencer map and its kernel -- Applications to isolated hypersurface singularities -- Plane curve singularities with k*-action -- The generic component of the local moduli suite -- The moduli suite of x 1 5 +x 2 11 . | |
520 | _aThis research monograph sets out to study the notion of a local moduli suite of algebraic objects like e.g. schemes, singularities or Lie algebras and provides a framework for this. The basic idea is to work with the action of the kernel of the Kodaira-Spencer map, on the base space of a versal family. The main results are the existence, in a general context, of a local moduli suite in the category of algebraic spaces, and the proof that, generically, this moduli suite is the quotient of a canonical filtration of the base space of the versal family by the action of the Kodaira-Spencer kernel. Applied to the special case of quasihomogenous hypersurfaces, these ideas provide the framework for the proof of the existence of a coarse moduli scheme for plane curve singularities with fixed semigroup and minimal Tjurina number . An example shows that for arbitrary the corresponding moduli space is not, in general, a scheme. The book addresses mathematicians working on problems of moduli, in algebraic or in complex analytic geometry. It assumes a working knowledge of deformation theory. | ||
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aTopological Groups. | |
650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aTopological Groups, Lie Groups. _0http://scigraph.springernature.com/things/product-market-codes/M11132 |
700 | 1 |
_aPfister, Gerhard. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662167304 |
776 | 0 | 8 |
_iPrinted edition: _z9783540192350 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1310 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0078937 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c12066 _d12066 |