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Master's Dissertation
DOI
https://doi.org/10.11606/D.55.2014.tde-09062014-140703
Document
Author
Full name
Lito Edinson Bocanegra Rodríguez
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2014
Supervisor
Committee
Atique, Roberta Godoi Wik (President)
Craizer, Marcos
Saia, Marcelo José
Title in Portuguese
Classificação de singularidades simpléticas: o método das restrições algébricas
Keywords in Portuguese
Classificação de curvas algébricas
Restrição algébrica
Singularidade simplética
Abstract in Portuguese
Neste trabalho obtemos a classificação simplética de singularidades de curvas do tipo A, D, E, através do método das restrições algébricas. Em outras palavras, considerando ('R POT. 2n', 'omega') um germe de variedade simplética, N = {H ('x IND. 1', 'x IND. 2') = 'x > OU = 3' = 0} uma curva algébrica singular onde 'H ('x IND. 1' , 'x IND. 2') é uma função que representa uma das clássicas singularidades 'A IND. k', 'D IND. k', 'E IND. 6', 'E IND. 7', 'E IND. 8', queremos classificar com respeito ao grupo dos simplectomorfismos as classes das variedades algébricas em ('R POT. 2n', 'omega') que são difeomorfas a N, através do método das restrições algébricas
Title in English
Classification of simplectic singularities: the method the algebric retrictions
Keywords in English
Algebraic restrictions
Classification of varities
Symplectic singularities
Abstract in English
In this work, we obtain the classification of symplectic singularities of curves of the type A, D, E, through the algebraic restriction method. In other words, considering ('R POT. 2n', 'omega') a germ of symplectic manifold, N = {H ('x IND. 1', 'x IND. 2) = 'x > or =' 3 = 0} 'THIS CONTAINED' ('R POT. 2n, 'omega') an algebraic singular curve where H ('x IND. 1', 'x IND. 2') is a function that represents one of the classical singularities 'A IND. k', 'D IND. k', 'E IND. 6', 'E IND. 7', 'E IND. 8', we want to classify with respect to the group of symplectomorphisms the classes of varieties in ('R POT. 2', 'omega') that are diffeomorphic to N, through the algebraic restrictions method
 
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Publishing Date
2014-06-09
 
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