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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.
| Identifer | oai:union.ndltd.org:IBICT/oai:tede.biblioteca.ufpb.br:tede/9323 |
| Date | 16 July 2015 |
| Creators | Silva, Mauri Pereira da |
| Contributors | Miranda Neto, Cleto Brasileiro |
| Publisher | Universidade Federal da Paraíba, Mestrado Profissional em Matemática, UFPB, Brasil, Matemática |
| Source Sets | IBICT Brazilian ETDs |
| Language | Portuguese |
| Detected Language | English |
| Type | info:eu-repo/semantics/publishedVersion, info:eu-repo/semantics/masterThesis |
| Format | application/pdf |
| Source | reponame:Biblioteca Digital de Teses e Dissertações da UFPB, instname:Universidade Federal da Paraíba, instacron:UFPB |
| Rights | info:eu-repo/semantics/openAccess |
| Relation | -7971561403159605022, 600, 600, 600, 600, -78633126427147401, 8398970785179857790, 2075167498588264571 |
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