PDF-DocumentaMath.97OnTamenessandGrowthConditionsJorgWinkelmannReceived:M

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jjvkjj2n21ThenDfvkk2NgistameiethereexistsabiholomorphicmapCnCnsuchthatDZf0gn1Thisgrowthconditionisful lledfordiscretesubgroupsofrankatmost2n3implyingthefollowingwellknownfactDocum

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DocumentaMath.97OnTamenessandGrowthConditionsJorgWinkelmannReceived:M: Transcript

jjvkjj2n21ThenDfvkk2NgistameiethereexistsabiholomorphicmapCnCnsuchthatDZf0gn1Thisgrowthconditionisfullledfordiscretesubgroupsofrankatmost2n3implyingthefollowingwellknownfactDocum. 242DavidW.Lewis,ClausScheiderer,ThomasUngerandproveananalogueofthefollowingtheoremduetoPrestel[15]andElmanetal.[4]:Theorem1.1.Fsatis 1Author'sworkwaspartiallysupportedbyPolishNationalScienceCentre(NCN)contractnumber2012/07/B/ST1/03343.DocumentaMathematica19(2014)509{540 510AdrianLangermodulestotheHitchinmorphismcorrespondingtothetr 552BernhardKellergeneratedbyF.Byde 206DevelinandSturmfelsReferences[1]M.DevelinandB.Sturmfels:TropicalConvexity,DocumentaMath.9(2004)1{27.[2]A.Dress:Trees,TightExtensionsofMetricSpaces,andtheCohomologicalDimensionofCertainGroups,Advanc 370NorbertHoffmann,UlrichStuhlerAinagivencentraldivisionalgebraA 404SteffenKoenig,DongYang1.IntroductionLetbeanite-dimensionalassociativealgebra.Fundamentalobjectsofstudyintherepresentationtheoryofaretheprojectivemodules,thesimplemod-ulesandthecategoryofall(nit 122HenningKrauseNeeman'sde

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