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100   $a20121009d2013      u|             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aIntroduction to Stokes Structures$b[electronic resource] /$fby Claude Sabbah
205   $a1st ed. 2013.
210  1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2013.
215   $a1 online resource (XIV, 249 p. 14 illus., 1 illus. in color.) 
225 1 $aLecture Notes in Mathematics,$x0075-8434 ;$v2060
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-642-31694-8 
320   $aIncludes bibliographical references and index.
327   $g1.$tT-filtrations --$g2.$tStokes-filtered local systems in dimension one --$g3.$tAbelianity and strictness --$g4.$tStokes-perverse sheaves on Riemann surfaces --$g5.$tThe Riemann-Hilbert correspondence for holonomic D-modules on curves --$g6.$tApplications of the Riemann-Hilbert correspondence to holonomic distributions --$g7.$tRiemann-Hilbert and Laplace on the affine line (the regular case) --$g8.$tReal blow-up spaces and moderate de Rham complexes --$g9.$tStokes-filtered local systems along a divisor with normal crossings --$g10.$tThe Riemann-Hilbert correspondence for good meromorphic connections (case of a smooth divisor) --$g11.$tGood meromorphic connections (formal theory) --$g12.$tGood meromorphic connections (analytic theory) and the Riemann-Hilbert correspondence --$g13.$tPush-forward of Stokes-filtered local systems --$g14.$tIrregular nearby cycles --$g15.$tNearby cycles of Stokes-filtered local systems.
330   $aThis research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy data for a linear differential equation of one complex variable near an irregular singular point. The present volume presents the approach in terms of Stokes filtrations. For linear differential equations on a Riemann surface, it also develops the related notion of a Stokes-perverse sheaf. This point of view is generalized to holonomic systems of linear differential equations in the complex domain, and a general Riemann-Hilbert correspondence is proved for vector bundles with meromorphic connections on a complex manifold. Applications to the distributions solutions to such systems are also discussed, and various operations on Stokes-filtered local systems are analyzed.
410  0$aLecture Notes in Mathematics,$x0075-8434 ;$v2060
606   $aAlgebraic geometry
606   $aDifferential equations
606   $aApproximation theory
606   $aSequences (Mathematics)
606   $aFunctions of complex variables
606   $aPartial differential equations
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aApproximations and Expansions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12023
606   $aSequences, Series, Summability$3https://scigraph.springernature.com/ontologies/product-market-codes/M1218X
606   $aSeveral Complex Variables and Analytic Spaces$3https://scigraph.springernature.com/ontologies/product-market-codes/M12198
606   $aPartial Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12155
615  0$aAlgebraic geometry.
615  0$aDifferential equations.
615  0$aApproximation theory.
615  0$aSequences (Mathematics).
615  0$aFunctions of complex variables.
615  0$aPartial differential equations.
615 14$aAlgebraic Geometry.
615 24$aOrdinary Differential Equations.
615 24$aApproximations and Expansions.
615 24$aSequences, Series, Summability.
615 24$aSeveral Complex Variables and Analytic Spaces.
615 24$aPartial Differential Equations.
676   $a516.35
700   $aSabbah$b Claude$4aut$4http://id.loc.gov/vocabulary/relators/aut$0311999
906   $aBOOK
912   $a996466480803316
996   $aIntroduction to Stokes structures$9241611
997   $aUNISA