000 | 03964nam a22004935i 4500 | ||
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001 | 978-3-540-33364-7 | ||
003 | DE-He213 | ||
005 | 20190213151820.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2006 gw | s |||| 0|eng d | ||
020 |
_a9783540333647 _9978-3-540-33364-7 |
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024 | 7 |
_a10.1007/978-3-540-33364-7 _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 |
245 | 1 | 0 |
_aSplitting Deformations of Degenerations of Complex Curves _h[electronic resource] : _bTowards the Classification of Atoms of Degenerations, III / _cedited by Shigeru Takamura. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2006. |
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300 |
_aXII, 594 p. 123 illus. _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 ; _v1886 |
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505 | 0 | _aBasic Notions and Ideas -- Splitting Deformations of Degenerations -- What is a barking? -- Semi-Local Barking Deformations: Ideas and Examples -- Global Barking Deformations: Ideas and Examples -- Deformations of Tubular Neighborhoods of Branches -- Deformations of Tubular Neighborhoods of Branches (Preparation) -- Construction of Deformations by Tame Subbranches -- Construction of Deformations of type Al -- Construction of Deformations by Wild Subbranches -- Subbranches of Types Al, Bl, Cl -- Construction of Deformations of Type Bl -- Construction of Deformations of Type Cl -- Recursive Construction of Deformations of Type Cl -- Types Al, Bl, and Cl Exhaust all Cases -- Construction of Deformations by Bunches of Subbranches -- Barking Deformations of Degenerations -- Construction of Barking Deformations (Stellar Case) -- Simple Crusts (Stellar Case) -- Compound barking (Stellar Case) -- Deformations of Tubular Neighborhoods of Trunks -- Construction of Barking Deformations (Constellar Case) -- Further Examples -- Singularities of Subordinate Fibers near Cores -- Singularities of Fibers around Cores -- Arrangement Functions and Singularities, I -- Arrangement Functions and Singularities, II -- Supplement -- Classification of Atoms of Genus ? 5 -- Classification Theorem -- List of Weighted Crustal Sets for Singular Fibers of Genus ? 5. | |
520 | _aThe author develops a deformation theory for degenerations of complex curves; specifically, he treats deformations which induce splittings of the singular fiber of a degeneration. He constructs a deformation of the degeneration in such a way that a subdivisor is "barked" (peeled) off from the singular fiber. These "barking deformations" are related to deformations of surface singularities (in particular, cyclic quotient singularities) as well as the mapping class groups of Riemann surfaces (complex curves) via monodromies. Important applications, such as the classification of atomic degenerations, are also explained. | ||
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aDifferential equations, partial. | |
650 | 0 | _aAlgebra. | |
650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aSeveral Complex Variables and Analytic Spaces. _0http://scigraph.springernature.com/things/product-market-codes/M12198 |
650 | 2 | 4 |
_aAlgebra. _0http://scigraph.springernature.com/things/product-market-codes/M11000 |
700 | 1 |
_aTakamura, Shigeru. _eeditor. _4edt _4http://id.loc.gov/vocabulary/relators/edt |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540822615 |
776 | 0 | 8 |
_iPrinted edition: _z9783540333630 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1886 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-540-33364-7 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11973 _d11973 |