Alberto Saracco

Extension Problems in Complex and CR-Geometry

• Broschiertes Buch

Produktbeschreibung

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.

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Produktdetails

• Publications of the Scuola Normale Superiore 9
• Verlag: Edizioni Della Normale / Scuola Normale Superiore / Springer, Berlin
• Artikelnr. des Verlages: 12553204, 978-88-7642-338-3
• Seitenzahl: 150
• Erscheinungstermin: 29. Dezember 2008
• Englisch
• Abmessung: 242mm x 154mm x 20mm
• Gewicht: 360g
• ISBN-13: 9788876423383
• ISBN-10: 8876423389
• Artikelnr.: 25328602

Inhaltsangabe

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.