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:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2016.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
433. |
| Schlagworte: | |
| Online-Zugang: | 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: | 1 online resource (vi, 111 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9781316675625 1316675629 9781316686669 1316686663 |
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 433 | |
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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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| author | Kashiwara, Masaki, 1947- Schapira, Pierre, 1943- |
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| contents | A review on sheaves and D-modules -- Indsheaves -- Tempered solutions of D-modules -- Indsheaves on bordered spaces -- Enhances indsheaves -- Holonomic D-modules -- Integral transforms. |
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| discipline | Mathematik |
| format | Electronic eBook |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Kashiwara, Masaki, 1947- author. https://id.oclc.org/worldcat/entity/E39PBJrm7CqgvdXfygjpDxVKVC http://id.loc.gov/authorities/names/n79069403 Regular and irregular holonomic D-modules / Masaki Kashiwara, RIMS, Kyoto University, Japan, Pierre Schapira, University Pierre et Marie Curie, Paris. Cambridge : Cambridge University Press, 2016. ©2016 1 online resource (vi, 111 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 433 Includes bibliographical references and index. A review on sheaves and D-modules -- Indsheaves -- Tempered solutions of D-modules -- Indsheaves on bordered spaces -- Enhances indsheaves -- Holonomic D-modules -- Integral transforms. Print version record. 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. http://id.loc.gov/authorities/subjects/sh92006437 Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Sheaf theory. http://id.loc.gov/authorities/subjects/sh85121203 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 D-modules. Modules (Algèbre) Théorie des faisceaux. Géométrie algébrique. MATHEMATICS Topology. bisacsh Geometría algebraica embne Módulos (Álgebra) embne D-modules fast Geometry, Algebraic fast Modules (Algebra) fast Sheaf theory fast Electronic books. Schapira, Pierre, 1943- author. https://id.oclc.org/worldcat/entity/E39PBJwdfFgjPQwXDhwKyg9dQq http://id.loc.gov/authorities/names/n84004841 has work: Regular and irregular holonomic D-modules (Text) https://id.oclc.org/worldcat/entity/E39PCFJ7VgwhqyxVbx9XPWK8G3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Kashiwara, Masaki, 1947- Regular and irregular holonomic D-modules. Cambridge, United Kingdom : Cambridge University Press, 2016 9781316613450 (DLC) 2016011164 (OCoLC)936410919 London Mathematical Society lecture note series ; 433. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1244636 Volltext |
| spellingShingle | Kashiwara, Masaki, 1947- Schapira, Pierre, 1943- Regular and irregular holonomic D-modules / London Mathematical Society lecture note series ; A review on sheaves and D-modules -- Indsheaves -- Tempered solutions of D-modules -- Indsheaves on bordered spaces -- Enhances indsheaves -- Holonomic D-modules -- Integral transforms. D-modules. http://id.loc.gov/authorities/subjects/sh92006437 Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Sheaf theory. http://id.loc.gov/authorities/subjects/sh85121203 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 D-modules. Modules (Algèbre) Théorie des faisceaux. Géométrie algébrique. MATHEMATICS Topology. bisacsh Geometría algebraica embne Módulos (Álgebra) embne D-modules fast Geometry, Algebraic fast Modules (Algebra) fast Sheaf theory fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh92006437 http://id.loc.gov/authorities/subjects/sh85086470 http://id.loc.gov/authorities/subjects/sh85121203 http://id.loc.gov/authorities/subjects/sh85054140 |
| title | Regular and 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, RIMS, Kyoto University, Japan, Pierre Schapira, University Pierre et Marie Curie, Paris. |
| title_fullStr | Regular and irregular holonomic D-modules / Masaki Kashiwara, RIMS, Kyoto University, Japan, Pierre Schapira, University Pierre et Marie Curie, Paris. |
| title_full_unstemmed | Regular and irregular holonomic D-modules / Masaki Kashiwara, RIMS, Kyoto University, Japan, Pierre Schapira, University Pierre et Marie Curie, Paris. |
| title_short | Regular and irregular holonomic D-modules / |
| title_sort | regular and irregular holonomic d modules |
| topic | D-modules. http://id.loc.gov/authorities/subjects/sh92006437 Modules (Algebra) http://id.loc.gov/authorities/subjects/sh85086470 Sheaf theory. http://id.loc.gov/authorities/subjects/sh85121203 Geometry, Algebraic. http://id.loc.gov/authorities/subjects/sh85054140 D-modules. Modules (Algèbre) Théorie des faisceaux. Géométrie algébrique. MATHEMATICS Topology. bisacsh Geometría algebraica embne Módulos (Álgebra) embne D-modules fast Geometry, Algebraic fast Modules (Algebra) fast Sheaf theory fast |
| topic_facet | D-modules. Modules (Algebra) Sheaf theory. Geometry, Algebraic. Modules (Algèbre) Théorie des faisceaux. Géométrie algébrique. MATHEMATICS Topology. Geometría algebraica Módulos (Álgebra) D-modules Geometry, Algebraic Sheaf theory Electronic books. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1244636 |
| work_keys_str_mv | AT kashiwaramasaki regularandirregularholonomicdmodules AT schapirapierre regularandirregularholonomicdmodules |