Algebraic Cycles and Motives

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1、AnnualEAGERConferenceAndWorkshopOntheOccasionofJ.Murre’s75–thBirthdayonAlgebraicCyclesandMotivesAugust30–September3,2004LeidenUniversity,theNetherlandsEditedbyJanNagelUniversit´edeLilleIChrisPetersUniversit´edeGrenobleIContentsForewordpage4PartISurveyArtic

2、les111TheMotivicVanishingCyclesandtheConservationCon-jectureJ.Ayoub132OntheTheoryof1-MotivesL.Barbieri-Viale673MotivicDecompositionforResolutionsofThreefoldsM.deCataldoandL.Migliorini1144CorrespondencesandTransfersF.D´eglise1515AlgebraicCyclesandSingularit

3、iesofNormalFunctionsM.GreenandPh.Griffiths2196ZeroCyclesonSingularVarietiesA.KrishnaandV.Srini-vas2787ModularCurves,SurfacesandThreefoldsD.Ramakrish-nan292PartIIResearchArticles3078Beilinson’sHodgeConjecturewithCoefficientsM.AsakuraandS.Saito3099OntheSplitting

4、oftheBloch-BeilinsonFiltrationA.Beau-ville34410K¨unnethProjectorsS.BlochandH.Esnault35911TheBrill-NoetherCurveofaStableBundleonaGenusTwoCurveS.BrivioandA.Verra37834Contents12OnTannakadualityforvectorbundlesonp-adiccurvesC.DeningerandA.Werner39913Onfinite-di

5、mensionalmotivesandMurre’sconjectureU.Jannsen41714OntheTranscendentalPartoftheMotiveofaSurfaceB.Kahn,J.P.MurreandC.Pedrini44815AnoteonfinitedimensionalmotivesKimura,S.-I.50816RealRegulatorsonMilnorComplexes,IIJ.D.Lewis51917MotivesforPicardmodularsurfacesA.M

6、iller,S.M¨uller-Stach,S.Wortmann,Y.-H.Yang,K.Zuo54618TheRegulatorMapforCompleteIntersectionsJ.Nagel58219HodgeNumberPolynomialsforNearbyandVanishingCo-homologyC.PetersandJ.Steenbrink59420DirectImageofLogarithmicComplexesM.Saito60921Mordell-WeilLatticesofCer

7、tainEllipticK3’sT.Shioda62422MotivesfromDiffractionJ.Stienstra645ForewordThisproceedingscontainsaselectionofpapersfromtheEAGERconference”AlgebraicCyclesandMotives”thatwasheldattheLorentzCenterinLeidenattheoccasionofthe75thbirthdayofProf.J.P.Murre(Aug30–Sept

8、3,2004).Theconferenceattractedmanyoftheleadingexpertsinthefieldaswellasanumberofyoungresearchers.Asthepapersinthisvolumecoverthemainresearchtopicsandsomeinterestingnewdevelopments,theyshouldgiveagoodindication