Extension problems in complex and CR-geometry

Download or read book Extension problems in complex and CR-geometry written by Alberto Saracco and published by Edizioni della Normale. This book was released on 2008-12-29 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.