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[意大利] E，Arbarello 著

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齣版社：世界圖書齣版公司

ISBN：9787510075902

版次：1

商品編碼：11554876

包裝：平裝

開本：24開

齣版時間：2014-05-01

用紙：膠版紙

頁數：386

正文語種：英文

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內容簡介

　　Inrecentyearstherehasbeenenormousactivityinthetheoryofalgebraiccurves．Manylong·standingproblemshavebeensolvedusingthegeneraltechniquesdevelopedinalgebraicgeometryduringthe1950’Sand1960’S．Additionally，unexpectedanddeepconnectionsbetweenalgebraiccurvesanddifferentialequationshavebeenuncovered．andtheseinturnshedlightonotherclassicalproblemsincurvetheory．Itseemsfairtosaythatthetheoryofalgebraiccurveslookscompletelyditierentnowfromhowitappeared15yearsago；inparticular，ourcurrentstateofknowledgerepre-sentsasignificantadvancebeyondthelegacyleftbytheclassicalgeometerssuchasNoether，Castelnuovo，Enriques，andSeveri．　　Thesebooksgiveapresentationofoneofthecentralareasofthisrecentactivity：namely，thestudyoflinearseriesonbothafixedcurve（VolumeI）andonavariablecurverVolumeII）．OurgoaliStogiveacomprehensiveandself-containedaccountoftheextrinsicgeometryofalgebraiccurves，whichinouropinionconstitutesthemaingeometriccoreoftherecentadvancesincurvetheory．Alongthewayweshall，ofcourse，discussappli．cationsofthetheoryoflinearseriestoanumberofclassicaltopics（e…gthegeometryoftheRiemannthetadivisor）aswellastosomeofthecurrentresearchr（e.gtheKodairadimensionofthemodulispaceofcurves）．