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1、GraduateTextsinMathematics229EditorialBoardS.AxlerF.W.GehringK.A.RibetDavidEisenbudTheGeometryofSyzygiesASecondCourseinCommutativeAlgebraandAlgebraicGeometryWith27FiguresDavidEisenbudMathematicalSciencesResearchInstituteBerkeley,CA94720USAde@msri.orgEditorialBo
2、ardS.AxlerF.W.GehringK.A.RibetMathematicsDepartmentMathematicsDepartmentMathematicsDepartmentSanFranciscoStateEastHallUniversityofCalifornia,UniversityUniversityofMichiganBerkeleySanFrancisco,CA94132AnnArbor,MI48109Berkeley,CA94720-3840USAUSAUSAaxler@sfsu.edufg
3、ehring@math.lsa.umich.eduribet@math.berkeley.eduMathematicsSubjectClassification(2000):13Dxx14-xx16E05LibraryofCongressCataloging-in-PublicationDataAC.I.P.CataloguerecordforthisbookisavailablefromtheLibraryofCongress.ISBN0-387-22215-4(hardcover)Printedonacid-fr
4、eepaper.ISBN0-387-22232-4(softcover)©2005SpringerScience+BusinessMedia,Inc.Allrightsreserved.Thisworkmaynotbetranslatedorcopiedinwholeorinpartwithoutthewrittenpermissionofthepublisher(SpringerScience+BusinessMedia,Inc.,233SpringStreet,NewYork,NY10013,USA),excep
5、tforbriefexcerptsinconnectionwithreviewsorscholarlyanalysis.Useinconnectionwithanyformofinformationstorageandretrieval,electronicadaptation,com-putersoftware,orbysimilarordissimilarmethodologynowknownorhereafterdevelopedisfor-bidden.Theuseinthispublicationoftra
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7、)springeronline.comContentsPreface:AlgebraandGeometryixWhatAreSyzygies?.............................xTheGeometricContentofSyzygies....................xiWhatDoesSolvingLinearEquationsMean?...............xiiExperimentandComputation.......................xiiiWhat’
8、sInThisBook?............................xivPrerequisites.................................xvHowDidThisBookComeAbout?.....................xvOtherBooks.........................