|
|
|||
|
||||
OverviewThis monograph treats classical complex analysis problems considered for toric varieties. These problems were originally posed and solved on complex n-spaces; and they are very difficult if considered for an arbitrary complex manifold. The author describes the Hartogs and the Hartogs-Bochner extension phenomena in smooth toric varieties and their connection with the first cohomology group with compact supports. The main problem with compact sets, which appear in the Hartogs phenomena, is that a compact set cut into a particular coordinate patch does not have to remain compact. Therefore, a global view of compact sets is absolutely necessary for this problem. The affirmative and negative results are proved using topological, analytic, and algebraic methods. The monograph is suitable for junior and senior mathematicians interested in the theory of several complex variables, toric varieties, and ends of topological spaces. Full Product DetailsAuthor: Malgorzata MarciniakPublisher: VDM Verlag Dr. Muller Aktiengesellschaft & Co. KG Imprint: VDM Verlag Dr. Muller Aktiengesellschaft & Co. KG Dimensions: Width: 15.20cm , Height: 0.70cm , Length: 22.90cm Weight: 0.193kg ISBN: 9783639169485ISBN 10: 3639169484 Pages: 124 Publication Date: 25 June 2009 Audience: General/trade , General Format: Paperback Publisher's Status: Active Availability: In Print This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |