{"product_id":"9783540333630","title":"Lecture Notes in Mathematics: Towards the Classification of Atoms of Degenerations, III","description":"\u003ch1\u003eLecture Notes in Mathematics: Towards the Classification of Atoms of Degenerations, III\u003c\/h1\u003e \u003ch2\u003eTakamura, Shigeru\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2006-07-26\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9783540333630\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-3-540-33364-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 594\u003c\/p\u003e ","brand":"Springer Berlin Heidelberg","offers":[{"title":"Default Title","offer_id":45369684590732,"sku":"9783540333630","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783540333630.jpg?v=1775673694","url":"https:\/\/lateknightbooks.com\/products\/9783540333630","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}