Regular and irregular holonomic D-modules:
D-module theory is essentially the algebraic study of systems of linear partial differential equations. This book, the first devoted specifically to holonomic D-modules, provides a unified treatment of both regular and irregular D-modules. The authors begin by recalling the main results of the theor...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
|
| Schriftenreihe: | London Mathematical Society lecture note series
433 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | D-module theory is essentially the algebraic study of systems of linear partial differential equations. This book, the first devoted specifically to holonomic D-modules, provides a unified treatment of both regular and irregular D-modules. The authors begin by recalling the main results of the theory of indsheaves and subanalytic sheaves, explaining in detail the operations on D-modules and their tempered holomorphic solutions. As an application, they obtain the Riemann–Hilbert correspondence for regular holonomic D-modules. In the second part of the book the authors do the same for the sheaf of enhanced tempered solutions of (not necessarily regular) holonomic D-modules. Originating from a series of lectures given at the Institut des Hautes Études Scientifiques in Paris, this book is addressed to graduate students and researchers familiar with the language of sheaves and D-modules, in the derived sense |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 May 2016) |
| Beschreibung: | 1 online resource (vi, 111 pages) |
| ISBN: | 9781316675625 |
| DOI: | 10.1017/CBO9781316675625 |
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| 520 | |a D-module theory is essentially the algebraic study of systems of linear partial differential equations. This book, the first devoted specifically to holonomic D-modules, provides a unified treatment of both regular and irregular D-modules. The authors begin by recalling the main results of the theory of indsheaves and subanalytic sheaves, explaining in detail the operations on D-modules and their tempered holomorphic solutions. As an application, they obtain the Riemann–Hilbert correspondence for regular holonomic D-modules. In the second part of the book the authors do the same for the sheaf of enhanced tempered solutions of (not necessarily regular) holonomic D-modules. Originating from a series of lectures given at the Institut des Hautes Études Scientifiques in Paris, this book is addressed to graduate students and researchers familiar with the language of sheaves and D-modules, in the derived sense | ||
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Datensatz im Suchindex
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| author_facet | Kashiwara, Masaki 1947- |
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| author_sort | Kashiwara, Masaki 1947- |
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| dewey-full | 514/.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.23 |
| dewey-search | 514/.23 |
| dewey-sort | 3514 223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316675625 |
| format | Electronic eBook |
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| id | DE-604.BV043940285 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316675625 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349255 |
| oclc_num | 967678594 |
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| physical | 1 online resource (vi, 111 pages) |
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| publishDate | 2016 |
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| spelling | Kashiwara, Masaki 1947- Verfasser aut Regular and irregular holonomic D-modules Masaki Kashiwara, Pierre Schapira Regular & Irregular Holonomic D-Modules Cambridge Cambridge University Press 2016 1 online resource (vi, 111 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 433 Title from publisher's bibliographic system (viewed on 05 May 2016) D-module theory is essentially the algebraic study of systems of linear partial differential equations. This book, the first devoted specifically to holonomic D-modules, provides a unified treatment of both regular and irregular D-modules. The authors begin by recalling the main results of the theory of indsheaves and subanalytic sheaves, explaining in detail the operations on D-modules and their tempered holomorphic solutions. As an application, they obtain the Riemann–Hilbert correspondence for regular holonomic D-modules. In the second part of the book the authors do the same for the sheaf of enhanced tempered solutions of (not necessarily regular) holonomic D-modules. Originating from a series of lectures given at the Institut des Hautes Études Scientifiques in Paris, this book is addressed to graduate students and researchers familiar with the language of sheaves and D-modules, in the derived sense D-modules Modules (Algebra) Sheaf theory Geometry, Algebraic D-Modul (DE-588)4305548-5 gnd rswk-swf D-Modul (DE-588)4305548-5 s 1\p DE-604 Schapira, Pierre 1943- Sonstige oth Erscheint auch als Druckausgabe 978-1-316-61345-0 https://doi.org/10.1017/CBO9781316675625 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kashiwara, Masaki 1947- Regular and irregular holonomic D-modules D-modules Modules (Algebra) Sheaf theory Geometry, Algebraic D-Modul (DE-588)4305548-5 gnd |
| subject_GND | (DE-588)4305548-5 |
| title | Regular and irregular holonomic D-modules |
| title_alt | Regular & Irregular Holonomic D-Modules |
| title_auth | Regular and irregular holonomic D-modules |
| title_exact_search | Regular and irregular holonomic D-modules |
| title_full | Regular and irregular holonomic D-modules Masaki Kashiwara, Pierre Schapira |
| title_fullStr | Regular and irregular holonomic D-modules Masaki Kashiwara, Pierre Schapira |
| title_full_unstemmed | Regular and irregular holonomic D-modules Masaki Kashiwara, Pierre Schapira |
| title_short | Regular and irregular holonomic D-modules |
| title_sort | regular and irregular holonomic d modules |
| topic | D-modules Modules (Algebra) Sheaf theory Geometry, Algebraic D-Modul (DE-588)4305548-5 gnd |
| topic_facet | D-modules Modules (Algebra) Sheaf theory Geometry, Algebraic D-Modul |
| url | https://doi.org/10.1017/CBO9781316675625 |
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