000 | 03211nam a22005415i 4500 | ||
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001 | 978-3-642-31695-1 | ||
003 | DE-He213 | ||
005 | 20190213151703.0 | ||
007 | cr nn 008mamaa | ||
008 | 121009s2013 gw | s |||| 0|eng d | ||
020 |
_a9783642316951 _9978-3-642-31695-1 |
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024 | 7 |
_a10.1007/978-3-642-31695-1 _2doi |
|
050 | 4 | _aQA564-609 | |
072 | 7 |
_aPBMW _2bicssc |
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_aMAT012010 _2bisacsh |
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_aPBMW _2thema |
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082 | 0 | 4 |
_a516.35 _223 |
100 | 1 |
_aSabbah, Claude. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aIntroduction to Stokes Structures _h[electronic resource] / _cby Claude Sabbah. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2013. |
|
300 |
_aXIV, 249 p. 14 illus., 1 illus. in color. _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 ; _v2060 |
|
520 | _aThis research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equation of one complex variable near an irregular singular point. The present volume presents the approach in terms of Stokes filtrations. For linear differential equations on a Riemann surface, it also develops the related notion of a Stokes-perverse sheaf. This point of view is generalized to holonomic systems of linear differential equations in the complex domain, and a general Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a complex manifold. Applications to the distributions solutions to such systems are also discussed, and various operations on Stokes-filtered local systems are analyzed. | ||
650 | 0 | _aGeometry, algebraic. | |
650 | 0 | _aDifferential Equations. | |
650 | 0 | _aMathematics. | |
650 | 0 | _aSequences (Mathematics). | |
650 | 0 | _aDifferential equations, partial. | |
650 | 1 | 4 |
_aAlgebraic Geometry. _0http://scigraph.springernature.com/things/product-market-codes/M11019 |
650 | 2 | 4 |
_aOrdinary Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12147 |
650 | 2 | 4 |
_aApproximations and Expansions. _0http://scigraph.springernature.com/things/product-market-codes/M12023 |
650 | 2 | 4 |
_aSequences, Series, Summability. _0http://scigraph.springernature.com/things/product-market-codes/M1218X |
650 | 2 | 4 |
_aSeveral Complex Variables and Analytic Spaces. _0http://scigraph.springernature.com/things/product-market-codes/M12198 |
650 | 2 | 4 |
_aPartial Differential Equations. _0http://scigraph.springernature.com/things/product-market-codes/M12155 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783642316944 |
776 | 0 | 8 |
_iPrinted edition: _z9783642316968 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v2060 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/978-3-642-31695-1 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
999 |
_c11540 _d11540 |