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The Global ETD Search service is a free service for researchers
to find electronic theses and dissertations. This service is
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Networked Digital Library of Theses and Dissertations.
Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
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Sobre a fibra especial e o teorema de Risler-Teissier para filtrações / On fiber cone and Risler-Teissier theorem to fibrationLima, Pedro Henrique Apoliano Albuquerque 26 February 2013 (has links)
Seja (R;m) um anel Noetheriano local e R \'CONTÉM\' \'iota IND. 1\' \'CONTÉM\' \'iota IND. 2\' \'CONTÉM ... uma filtração de ideais de R. Podemos então construir a álgebra graduada F(\'\\Im) := \'SOMA DIRETA IND. n > OU = 0 POT. \'iota IND. n / \'m \'iota IND. n\', chamada de fibra especial. Esta tese objetiva a pesquisa deste anel. Investigamos sobre a sua propriedade de ser Gorenstein e a sua regularidade de Castelnuovo-Mumford. Outro objetivo, é generalizarmos o teorema de Risler-Teissier (sobre multiplicidades mistas) para o caso de filtrações de Hilbert / Let (R;m) be a Noetherian local ring and R \'CONTAINS\' \'iota IND. 1\' \'CONTAINS\' \'iota IND. 2\' \'CONTAINS\' ... a filtration of ideals in R. We may then construct the graded algebra F(\\Im) := \'DIRECT SUM\' IND. n > OR = \'0 POT. \'iota\' IND. n / \'m \'iota IND. n\' , which is called fiber cone. This thesis has the goal to research about this graded ring. We investigate its Gorenstein property and its Castelnuovo-Mumford regularity. Another aim is to generalize the Risler-Teissiers theorem (about mixed multiplicities) for the case of Hilbert filtration
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Sobre a fibra especial e o teorema de Risler-Teissier para filtrações / On fiber cone and Risler-Teissier theorem to fibrationPedro Henrique Apoliano Albuquerque Lima 26 February 2013 (has links)
Seja (R;m) um anel Noetheriano local e R \'CONTÉM\' \'iota IND. 1\' \'CONTÉM\' \'iota IND. 2\' \'CONTÉM ... uma filtração de ideais de R. Podemos então construir a álgebra graduada F(\'\\Im) := \'SOMA DIRETA IND. n > OU = 0 POT. \'iota IND. n / \'m \'iota IND. n\', chamada de fibra especial. Esta tese objetiva a pesquisa deste anel. Investigamos sobre a sua propriedade de ser Gorenstein e a sua regularidade de Castelnuovo-Mumford. Outro objetivo, é generalizarmos o teorema de Risler-Teissier (sobre multiplicidades mistas) para o caso de filtrações de Hilbert / Let (R;m) be a Noetherian local ring and R \'CONTAINS\' \'iota IND. 1\' \'CONTAINS\' \'iota IND. 2\' \'CONTAINS\' ... a filtration of ideals in R. We may then construct the graded algebra F(\\Im) := \'DIRECT SUM\' IND. n > OR = \'0 POT. \'iota\' IND. n / \'m \'iota IND. n\' , which is called fiber cone. This thesis has the goal to research about this graded ring. We investigate its Gorenstein property and its Castelnuovo-Mumford regularity. Another aim is to generalize the Risler-Teissiers theorem (about mixed multiplicities) for the case of Hilbert filtration
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