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1、ClayMathematicsProceedingsVolume18ACelebrationofAlgebraicGeometryACelebrationofAlgebraicGeometry:AConferenceinHonorofJoeHarris’60thBirthdayHarvardUniversityCambridge,MAAugust25–28,2011BrendanHassettJamesMcKernanJasonStarrRaviVakilEditorsAmericanMathematicalSocietyClayMathematicsInstituteACe
2、lebrationofAlgebraicGeometryClayMathematicsProceedingsVolume18ACelebrationofAlgebraicGeometryACelebrationofAlgebraicGeometry:AConferenceinHonorofJoeHarris’60thBirthdayHarvardUniversityCambridge,MAAugust25–28,2011BrendanHassettJamesMcKernanJasonStarrRaviVakilEditorsAmericanMathematicalSociet
3、yClayMathematicsInstitute2010MathematicsSubjectClassification.Primary14C30,14D22,14H45,14J28,14K10,14N15,14N20.CoverphotoofJoeHarrisisbyDavidMosher,copyrighttheSimonsFoundation.LibraryofCongressCataloging-in-PublicationDataAcelebrationofalgebraicgeometry:inhonorofJoeHarris’60thbirthday,Augus
4、t25–28,2011,HarvardUniversity,Cambridge,Massachusetts/BrendanHassett,JamesMcKernan,JasonStarr,RaviVakil,editors.pagescm.—(Claymathematicsproceedings:volume18)“ClayMathematicsInstitute.”Includesbibliographicalreferences.ISBN978-0-8218-8983-1(alk.paper)1.Geometry,Algebraic.I.Harris,Joe,1951–I
5、I.Hassett,Brendan.III.McKernan,James,1964–IV.Starr,JasonM.(JasonMichael)V.Vakil,Ravi.VI.AmericanMathematicalSociety.VII.ClayMathematicsInstitute.QA564.C4252013516.35—dc232013014118Copyingandreprinting.Materialinthisbookmaybereproducedbyanymeansforedu-cationalandscientificpurposeswithoutfeeo
6、rpermissionwiththeexceptionofreproductionbyservicesthatcollectfeesfordeliveryofdocumentsandprovidedthatthecustomaryacknowledg-mentofthesourceisgiven.Thisconsentdoesnotextendtootherkindsofcopyingforgeneraldistribution,foradvertisingorpromotionalpurposes,orforresale.Requestsforpermissionforco
7、mmercialuseofmaterialshouldbeaddressedtotheAcquisitionsDepartment,AmericanMath-ematicalSociety,201CharlesStreet,Providence,RhodeIsland02904-2294,USA.Requestscanalsobemadebye-mailtoreprint-permission@ams.org.Excludedfromtheseprovisionsismaterialinarticles