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Master's Dissertation
DOI
10.11606/D.55.2007.tde-14092007-101056
Document
Author
Full name
Aurelio Menegon Neto
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2007
Supervisor
Committee
Santos, Raimundo Nonato Araújo dos (President)
Manoel, Miriam Garcia
Tomazella, João Nivaldo
Title in Portuguese
Números de Milnor e obstrução de Euler
Keywords in Portuguese
Fibrado vetorial
Número de Milnor
Obstrução de Euler
Variedades singularidades
Abstract in Portuguese
Neste trabalho, definimos a obstrução local de Euler de um espaço analítico complexo singular (X, 'x IND.0'), denotada por Eu(X, 'x IND.0'), e a obstrução local de Euler de uma função holomorfa f definida neste espaço, com uma singularidade isolada em 'x IND. 0', denotada por 'Eu IND. f' (X, 'x IND.0'); e apresentamos duas fórmulas para seus respectivos cálculos. Em seguida, através de uma abordagem geométrica, determinamos as relações entre 'Eu IND. f' (X,'x IND.0') e algumas generalizações do número de Milnor para funções em espaços singulares
Title in English
Milnor numbers and Euler obstruction
Keywords in English
Euler obstruction
Milnor number
Singular varieties
Vector bundle
Abstract in English
In this work we define the local Euler obstruction of a complex analytic singularity (X, 'x IND.0'), denoted Eu(X, 'x IND.0'), and the local Euler obstruction of a holomorphic function f defined on this space, with an isolated singularity at 'x IND. 0', denoted 'Eu IND. f' (X, 'x IND.0'); and we present two formulas for their respective calculations. Next, using a geometric approach, we determine the relations between 'Eu IND.f' (X, 'x IND.0') and several generalizations of the Milnor number for functions on singular spaces
 
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Publishing Date
2007-09-14
 
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