000 | 03185nam a22004935i 4500 | ||
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001 | 978-3-540-47769-3 | ||
003 | DE-He213 | ||
005 | 20190213151155.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1993 gw | s |||| 0|eng d | ||
020 |
_a9783540477693 _9978-3-540-47769-3 |
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024 | 7 |
_a10.1007/BFb0084369 _2doi |
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050 | 4 | _aQA166-166.247 | |
072 | 7 |
_aPBV _2bicssc |
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072 | 7 |
_aMAT013000 _2bisacsh |
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072 | 7 |
_aPBV _2thema |
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082 | 0 | 4 |
_a511.5 _223 |
100 | 1 |
_aUrabe, Tohsuke. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aDynkin Graphs and Quadrilateral Singularities _h[electronic resource] / _cby Tohsuke Urabe. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1993. |
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300 |
_aCCXLVIII, 242 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aMathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ; _v1548 |
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505 | 0 | _aQuadrilateral singularities and elliptic K3 surfaces -- Theorems with the Ik-conditions for J 3,0, Z 1,0 and Q 2,0 -- Obstruction components -- Concept of co-root modules. | |
520 | _aThe study of hypersurface quadrilateral singularities can be reduced to the study of elliptic K3 surfaces with a singular fiber of type I * 0 (superscript *, subscript 0), and therefore these notes consider, besides the topics of the title, such K3 surfaces too. The combinations of rational double points that can occur on fibers in the semi-universal deformations of quadrilateral singularities are examined, to show that the possible combinations can be described by a certain law from the viewpoint of Dynkin graphs. This is equivalent to saying that the possible combinations of singular fibers in elliptic K3 surfaces with a singular fiber of type I * 0 (superscript *, subscript 0) can be described by a certain law using classical Dynkin graphs appearing in the theory of semi-simple Lie groups. Further, a similar description for thecombination of singularities on plane sextic curves is given. Standard knowledge of algebraic geometry at the level of graduate students is expected. A new method based on graphs will attract attention of researches. | ||
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aGlobal analysis (Mathematics). | |
650 | 1 | 4 |
_aGraph Theory. _0http://scigraph.springernature.com/things/product-market-codes/M29020 |
650 | 2 | 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: _z9783662212240 |
776 | 0 | 8 |
_iPrinted edition: _z9783540568773 |
830 | 0 |
_aMathematisches Institut der Universität und Max-Planck-Institut für Mathematik, Bonn ; _v1548 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0084369 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9773 _d9773 |