Submitted by ANA KARLA PEREIRA RODRIGUES (anakarla_@hotmail.com) on 2017-08-28T14:05:33Z No. of bitstreams: 1 arquivototal.pdf: 917638 bytes, checksum: 80f3b489c75001e1f83c7c60e54c0c74 (MD5) / Approved for entry into archive by Viviane Lima da Cunha (viviane@biblioteca.ufpb.br) on 2017-08-28T15:55:51Z (GMT) No. of bitstreams: 1 arquivototal.pdf: 917638 bytes, checksum: 80f3b489c75001e1f83c7c60e54c0c74 (MD5) / Made available in DSpace on 2017-08-28T15:55:51Z (GMT). No. of bitstreams: 1 arquivototal.pdf: 917638 bytes, checksum: 80f3b489c75001e1f83c7c60e54c0c74 (MD5) Previous issue date: 2015-07-16 / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior - CAPES / The maingoalofthisdissertationisthepresentationofconcepts,examplesand characterizations{bothclassicalandrecent{concerningtheimportantandin uential theory oftheso-called freedivisors in thestandardhomogeneouscase.Tothisend,we beginwithabasicstudyonderivationsandwefocusonthemoduledubbed tangential idealizer of agivenhomogeneouspolynomial,whichgeometricallycorrespondstothe moduleoflogarithmicvector eldsalongthegivenprojectivehypersurface(thedivisor is saidtobe free if suchmoduleisfreeoverthegradedpolynomialring).Wewillalso discuss, inparticular,resultsaboutfreedivisorsintheprojectiveplane. / O principalobjetivodestadisserta c~ao eaapresenta c~aodeconceitos,exemplose caracteriza c~oes{tantocl assicasquantorecentes{arespeitodaimportanteein uente teoria doschamados divisoreslivres no casohomog^eneopadr~ao.Paraesta nalidade, iniciamos comumestudob asicosobrederiva c~oesefocalizamosnom odulodenomi- nado idealizadortangencial de umdadopolin^omiohomog^eneo,oquegeometricamente correspondeaom odulodoscamposvetoriaislogar tmicosaolongodahipersuperf cie projetivadada(odivisor edito livre quando talm odulo elivresobreoanelgraduado de polin^omios).Tamb emdiscutiremos,emparticular,resultadossobredivisoreslivres no planoprojetivo.