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ID:16071765
大小:10.25 MB
页数:315页
时间:2018-08-07
《gtm044.elementary.algebraic.geometry,.kendig.k..(springer.1977)(isbn.038790199x)(t)(600dpi)(315s)》由会员上传分享,免费在线阅读,更多相关内容在学术论文-天天文库。
1、KeithKendigElementaryAlgebraicGeometrySpringer-VerlagNewYorkHeidelbergBerlinDr.KeithKendigClevelandStateUniversityDepartmentofMathematicsCleveland.Ohio44115EditorialBoardP.R.HalmosF.W.GehringC.C.MooreManagingEdilorUniversityofMichiganUniversityofCaliforniaatBerkeleyUniversityofCaliforniaDepar
2、tmentofMathematicsDepartmentofMathematicsDepartmentofMathematicsAnnArbor,Michigan48104Berkeley,California94720SantaBarbara.California93106AMSSubjectClassificationl3—0I,14—HILibraryofCongressCataloginginPublicationDataKendig,Keith,1938—Elementaryalgebraicgeometry.(Graduatetextsinmathematics44)
3、Bibliography:p.Includesindex.I.Algebraic..2.Commutativealgebra.1.Title.II.Series.QA564.K46516'.35Allrightsreserved.NopartofthisbookmaybetranslatedorreproducedinanyformwithoutwrittenpermissionfromSpringer-Verlag.@1917bySpringer-Verlag.NewYorkInc.PrintedintheUnitedStatesofAmerica.ISBNO-387-90I9
4、9-XSpringer-VerlagNewYorkISBN3-540-90199-XSpringer-VerlagBerlinHeidelbergPrefaceThisbookwaswritientomakelearningintroductoryalgebraicgeometryaseasyaspossible.Itisdesignedforthegeneralfirst-andsecond-yeargraduatestudent,aswellasforthenonspecialist;theonlyprerequisitesareaone-yearcourseinalgebr
5、aandalittlecomplexanalysis.Therearemanyexamplesandpicturesinthebook.One'ssenseofintuitionislargelybuiltupfromexposuretoconcreteexamp'cs.andintuitioninalgebraicgeometryisnoexception.Ihavealsotriedtoavoidtoomuchgeneralization.Ifoneunder-standsthecoreofanideainaetesetting,latergeneralizationsbec
6、omemuchmoremeaningful.Thereareexercisesattheendofmostsectionssothatthereadercantesthisunderstandingofthematerial.Someareroutine,othersaremorechallenging.Occasionally,easilyestablishedresultsusedinthetexthavebeenmadeintoexercises.Andfromtimetotime,proofsoftopicsnotcoveredinthetextaresketchedan
7、dthereaderisaskedtofillinthedetails.Chapter1isofanintroductorynature.Someofthegeometryofafewspecificalgebratccurvesisworkedout,usingatacticalapproachthatmightnaturallybetriedbyonenotfamiliarwiththegeneralmethodsintro-ducedlaterinthebook.Furth
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