An introduction to Riemann surfaces
This textbook presents a unified approach to compact and noncompact Riemann surfaces from the point of view of the L -method, a powerful technique used in the theory of several complex variables. The work features a simple construction of a strictly subharmonic exhaustion function and a related con...
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Udgivelse: | 1st ed. 2012. |
| Serier: | Cornerstones
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| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • An introduction to Riemann surfaces, Terrence Napier, Mohan Ramachandran, Boston, Birkhäuser, 2011, 1 vol. (XVII-560 p.), Cornerstones, 978-0-8176-4692-9 • Kolmogorov equations for stochastic PDEs, Giuseppe Da Prato, 2004, Basel, Birkhäuser Verlag, 1 vol. (VII-182 p.), Advanced courses in mathematics, CRM Barcelona, 0-8176-7216-8 |
Indholdsfortegnelse:
- Preface Introduction Complex analysis in C Riemann Surfaces and the L2 \delta-Method for Scalar-Valued Forms The L2 \delta-Method in a Holomorphic Line Bundle Compact Riemann Surfaces Uniformization and Embedding of Riemann Surfaces.-Holomorphic Structures on Topological Surfaces Background Material on Analysis in Rn and Hilbert Space Theory Background Material on Linear Algebra Background Material on Manifolds Background Material on Fundamental Groups, Covering Spaces, and (Co)homology Background Material on Sobolev Spaces and Regularity References Notation Index Subject Index