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Beschreibung
Sheaf Theory is a highly "modern" and active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. In this Grundlehren volume the authors achieve a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view.
Sheaf Theory is a highly "modern" and active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. In this Grundlehren volume the authors achieve a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view.
Über den Autor
Masaki Kashiwara Professor at the Rims, Kyoto University
Plenary speaker ICM 1978
Invited speaker ICM 1990
[...]
Pierre Schapira, Professor at University Pierre et Marie Curie (Paris VI)
Invited speaker ICM 1990
[...]
Plenary speaker ICM 1978
Invited speaker ICM 1990
[...]
Pierre Schapira, Professor at University Pierre et Marie Curie (Paris VI)
Invited speaker ICM 1990
[...]
Zusammenfassung
Sheaf Theory is a highly "modern" and active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. In this Grundlehren volume the authors achieve a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view.
Inhaltsverzeichnis
A Short History: Les débuts de la théorie des faisceaux.- I. Homological algebra.- II. Sheaves.- III. Poincaré-Verdier duality and Fourier-Sato transformation.- IV. Specialization and microlocalization.- V. Micro-support of sheaves.- VI. Micro-support and microlocalization.- VII. Contact transformations and pure sheaves.- VIII. Constructible sheaves.- IX. Characteristic cycles.- X. Perverse sheaves.- XI. Applications to O-modules and D-modules.- Appendix: Symplectic geometry.- Summary.- A.1. Symplectic vector spaces.- A.2. Homogeneous symplectic manifolds.- A.3. Inertia index.- Exercises to the Appendix.- Notes.- List of notations and conventions.
Details
| Erscheinungsjahr: | 2010 |
|---|---|
| Fachbereich: | Geometrie |
| Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Grundlehren der mathematischen Wissenschaften |
| Inhalt: |
x
512 S. |
| ISBN-13: | 9783642080821 |
| ISBN-10: | 3642080820 |
| Sprache: | Englisch |
| Einband: | Kartoniert / Broschiert |
| Autor: |
Kashiwara, Masaki
Schapira, Pierre |
| Hersteller: |
Springer
Grundlehren der mathematischen Wissenschaften |
| Verantwortliche Person für die EU: | Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com |
| Maße: | 235 x 155 x 29 mm |
| Von/Mit: | Masaki Kashiwara (u. a.) |
| Erscheinungsdatum: | 01.12.2010 |
| Gewicht: | 0,791 kg |
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