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Stokes Structure and Direct Image of Irregular Singular D-Modules
Language: en
Pages: 74
Authors: Hedwig Heizinger
Categories: Mathematics
Type: BOOK - Published: 2015-08-10 - Publisher: Logos Verlag Berlin GmbH

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In this thesis we develop a way of examining the Stokes structure of certain irregular singular D-modules, namely the direct image of exponentially twisted mero
Homological Mirror Symmetry and Tropical Geometry
Language: en
Pages: 445
Authors: Ricardo Castano-Bernard
Categories: Mathematics
Type: BOOK - Published: 2014-10-07 - Publisher: Springer

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The relationship between Tropical Geometry and Mirror Symmetry goes back to the work of Kontsevich and Y. Soibelman (2000), who applied methods of non-archimede
Introduction to Stokes Structures
Language: en
Pages: 254
Authors: Claude Sabbah
Categories: Mathematics
Type: BOOK - Published: 2012-10-03 - Publisher: Springer

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This research monograph provides a geometric description of holonomic differential systems in one or more variables. Stokes matrices form the extended monodromy
Global Regularity and Uniqueness of Solutions in a Surface Growth Model Using Rigorous A-Posteriori Methods
Language: en
Pages: 98
Authors: Christian Nolde
Categories: Mathematics
Type: BOOK - Published: 2017 - Publisher: Logos Verlag Berlin GmbH

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The use of rigorous numerical methods to approach problems which can not be solved using standard methods (yet) has increased signifiantly in recent years. In t
Regular and Irregular Holonomic D-Modules
Language: en
Pages: 119
Authors: Masaki Kashiwara
Categories: Mathematics
Type: BOOK - Published: 2016-05-26 - Publisher: Cambridge University Press

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A unified treatment of the Riemann-Hilbert correspondence for (not necessarily regular) holonomic D-modules using indsheaves.