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Overview"The author develops a deformation theory for degenerations of complex curves; specifically, he treats deformations which induce splittings of the singular fiber of a degeneration. He constructs a deformation of the degeneration in such a way that a subdivisor is ""barked"" (peeled) off from the singular fiber. These ""barking deformations"" are related to deformations of surface singularities (in particular, cyclic quotient singularities) as well as the mapping class groups of Riemann surfaces (complex curves) via monodromies. Important applications, such as the classification of atomic degenerations, are also explained." Full Product DetailsAuthor: Shigeru TakamuraPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: 2006 ed. Volume: 1886 Dimensions: Width: 15.50cm , Height: 3.10cm , Length: 23.50cm Weight: 1.870kg ISBN: 9783540333630ISBN 10: 3540333630 Pages: 594 Publication Date: 26 July 2006 Audience: Professional and scholarly , Professional & Vocational 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 ContentsReviewsFrom the reviews: <p> This is a 590 pages book on deformation theory, using mostly topological methods, but also a ~translateda (TM) to algebraic geometry and using algebraic methods. a ] It is a nice level and should be possible to read. Most commonly, algebraic geometers translate from differential geometry to solve problems. In this book the concept is vice versa: Algebraic methods are used to solve topological problems. Thus this book may at the first glance look elementary for an algebraist, but it is not. (Arvid Siqveland, Zentralblatt MATH, Vol. 1100 (2), 2007) Author InformationTab Content 6Author Website:Countries AvailableAll regions |