gtm044.elementary.algebraic.geometry,.kendig.k..(springer.1977)(isbn.038790199x)(t)(600dpi)(315s)

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1、KeithKendigElementaryAlgebraicGeometrySpringer-VerlagNewYorkHeidelbergBerlinDr.KeithKendigClevelandStateUniversityDepartmentofMathematicsCleveland.Ohio44115EditorialBoardP.R.HalmosF.W.GehringC.C.MooreManagingEdilorUniversityofMichiganUniversityofCaliforniaatBerkeleyUniversityofCaliforniaDepartment

2、ofMathematicsDepartmentofMathematicsDepartmentofMathematicsAnnArbor,Michigan48104Berkeley,California94720SantaBarbara.California93106AMSSubjectClassificationl3—0I,14—HILibraryofCongressCataloginginPublicationDataKendig,Keith,1938—Elementaryalgebraicgeometry.(Graduatetextsinmathematics44)Bibliograp

3、hy:p.Includesindex.I.Algebraic..2.Commutativealgebra.1.Title.II.Series.QA564.K46516'.35Allrightsreserved.NopartofthisbookmaybetranslatedorreproducedinanyformwithoutwrittenpermissionfromSpringer-Verlag.@1917bySpringer-Verlag.NewYorkInc.PrintedintheUnitedStatesofAmerica.ISBNO-387-90I99-XSpringer-Ver

4、lagNewYorkISBN3-540-90199-XSpringer-VerlagBerlinHeidelbergPrefaceThisbookwaswritientomakelearningintroductoryalgebraicgeometryaseasyaspossible.Itisdesignedforthegeneralfirst-andsecond-yeargraduatestudent,aswellasforthenonspecialist;theonlyprerequisitesareaone-yearcourseinalgebraandalittlecomplexan

5、alysis.Therearemanyexamplesandpicturesinthebook.One'ssenseofintuitionislargelybuiltupfromexposuretoconcreteexamp'cs.andintuitioninalgebraicgeometryisnoexception.Ihavealsotriedtoavoidtoomuchgeneralization.Ifoneunder-standsthecoreofanideainaetesetting,latergeneralizationsbecomemuchmoremeaningful.The

6、reareexercisesattheendofmostsectionssothatthereadercantesthisunderstandingofthematerial.Someareroutine,othersaremorechallenging.Occasionally,easilyestablishedresultsusedinthetexthavebeenmadeintoexercises.Andfromtimetotime,proofsoftopicsnotcoveredinthetextaresketchedandthereaderisaskedtofillinthede

7、tails.Chapter1isofanintroductorynature.Someofthegeometryofafewspecificalgebratccurvesisworkedout,usingatacticalapproachthatmightnaturallybetriedbyonenotfamiliarwiththegeneralmethodsintro-ducedlaterinthebook.Furth