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1、UniversitextForothertitlespublishedinthisseries,gotowww.springer.com/series/223EberhardFreitagCComplexAnalysis2RiemannSurfaces,SeveralComplexVariables,AbelianFunctions,HigherModularFunctions123EberhardFreitagUniversitätHeidelbergMathematischesInstitutImNeuenheimerFeld28869120Heidelb
2、ergGermanyfreitag@mathi.uni-heidelberg.deEditorialboard:SheldonAxler,SanFranciscoStateUniversityVincenzoCapasso,UniversitàdegliStudidiMilanoCarlesCasacuberta,UniversitatdeBarcelonaAngusJ.MacIntyre,QueenMary,UniversityofLondonKennethRibet,UniversityofCalifornia,BerkeleyClaudeSabbah,C
3、NRS,ÉcolePolytechniqueEndreSüli,UniversityofOxfordWojborA.Woyczynski,CaseWesternReserveUniversityISSN0172-5939e-ISSN2191-6675ISBN978-3-642-20553-8e-ISBN978-3-642-20554-5DOI10.1007/978-3-642-20554-5SpringerHeidelbergDordrechtLondonNewYorkLibraryofCongressControlNumber:2011930840Mathe
4、maticsSubjectClassification(2010):30,31,32©Springer-VerlagBerlinHeidelberg2011Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,specificallytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcasting,reproductiononmicr
5、ofilmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.ViolationsareliabletoprosecutionundertheGermanCopyri
6、ghtLaw.Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Coverdesign:deblik,BerlinPrintedonacid-freepaperSpr
7、ingerispartofSpringerScience+BusinessMedia(www.springer.com)forHellaContentsChapterI.RiemannSurfaces10BasicTopologicalNotions31TheNotionofaRiemannSurface132TheAnalytischesGebilde273TheRiemannSurfaceofanAlgebraicFunction35AppendixA.ASpecialCaseofCoveringTheory46AppendixB.ATheoremofIm
8、plicitfunctions51Ch
