Extension problems in complex and CR-geometry: 9 - Brossura

Saracco, Alerto

Brossura

ISBN 10: 8876423389 ISBN 13: 9788876423383

Casa editrice: Scuola Normale Superiore, 2008

Riassunto

This book is both a survey of some aspects of extension problems in Complex Analysis and Geometry and a collection of results by the author. After recalling the preliminary and necessary notions of complex analysis, the survey focuses on extension of holomorphic functions (filling both compact and non-compact holes), on the reflection principle, on extension results via cohomology vanishing, and on the boundary problem. The last two subjects include detailed results by the author on non-compact extension: the cohomology of semi q-coronae and the unbounded boundary problem.

Su questo libro

Contenuti

1. Introduction.- 2. Classical extension theorems in one and several complex variables.- 3. Extension of CR-functions up to a Levi-flat boundary and of holomorphic maps.- 4. Cohomology vanishing and extension problems for semi q-coronae.- 5. Cohomology of semi 1-coronae and extension of analytic subsets.- 6. The boundary problem.- 7. Non-compact boundaries of complex analytic varieties.- 8. Semi-local extension of maximally complex submanifolds.

Dettagli dell?edizione

• Editore: Scuola Normale Superiore
• Data di pubblicazione: 2008
• Lingua: Inglese
• ISBN 10: 8876423389
• ISBN 13: 9788876423383
• Rilegatura: Copertina flessibile
• Numero edizione: 1
• Numero di pagine: 150
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile