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1、SpringerMonographsinMathematicsG.-M.Greuel•C.Lossen•E.ShustinIntroductiontoSingularitiesandDeformationsGert-MartinGreuelFachbereichMathematikUniversitätKaiserslauternErwin-Schrödinger-Str.67663Kaiserslautern,Germanye-mail:greuel@mathematik.uni-kl.deChristophLo
2、ssenFachbereichMathematikUniversitätKaiserslauternErwin-Schrödinger-Str.67663Kaiserslautern,Germanye-mail:lossen@mathematik.uni-kl.deEugeniiShustinSchoolofMathematicalSciencesRaymondandBeverlySacklerFacultyofExactSciencesTelAvivUniversityRamatAviv69978TelAviv,
3、Israele-mail:shustin@post.tau.ac.ilLibraryofCongressControlNumber:2006935374MathematicsSubjectClassification(2000):14B05,14B07,14B10,14B12,14B25,14Dxx,14H15,14H20,14H50,13Hxx,14QxxISSN1439-7382ISBN-103-540-28380-3SpringerBerlinHeidelbergNewYorkISBN-13978-3-540-
4、28380-5SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicrofilmorinanyotherwa
5、y,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliableforprosecutionundertheGermanC
6、opyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringer.comcSpringer-VerlagBerlinHeidelberg2007Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfr
7、omtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.TypesettingbytheauthorsandVTEXusingaSpringerLATEXmacropackageCoverdesign:ErichKirchner,Heidelberg,GermanyPrintedonacid-freepaperSPIN:10820313VA4141/3100/VTEX-543210MeinerMutterIrmaundderEri
8、nnerungmeinesVatersWilhelmG.-M.G.F¨urCarmen,KatrinundCarolinC.L.TomyparentsIsaacandMayaE.S.VIAdeformationofasimplesurfacesingularityoftypeE7intofourA1-singularities.Thefamilyisdefin