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Doctoral Thesis
DOI
https://doi.org/10.11606/T.55.2023.tde-16062023-134628
Document
Author
Full name
Amanda Monteiro
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2023
Supervisor
Committee
Grulha Junior, Nivaldo de Góes (President)
Libardi, Alice Kimie Miwa
Mattos, Denise de
Rizziolli, Elíris Cristina
Title in Portuguese
Classes características equivariantes de hipersuperfícies singulares
Keywords in Portuguese
Classes características equivariantes
Especializações equivariantes
Número de Milnor integrado equivariante
Abstract in Portuguese
O estudo de classes características equivariantes de variedades singulares é um tópico atual e tem sido amplamente investigado em várias áreas da ciência. O principal objetivo desta tese é a construção de classes equivariantes inspirada na caracterização dada por Paruzinski e Pragacz de classe de Milnor, e fazendo o uso da classe equivariante de Schwartz-MacPherson já construída por Ohmoto. Apresentamos classes características equivariantes do tipo Milnor e do tipo Fulton para hipersu- perfícies singulares, além de versões equivariantes dos homomorfismos especializações e então mostramos uma relação entre estes objetos equivariantes.
Title in English
Equivariant characteristic classes of singular hypersurfaces
Keywords in English
Equivariant characteristic classes
Equivariant integrated Milnor number
Equivariant specializations
Abstract in English
The study of equivariant characteristic classes of singular varieties is a current topic and has been widely investigated in several areas of science. The main objective of this thesis is the construction of equivariant classes inspired by the characterization given by Paruzinski and Pragacz of the Milnor class, and making use of the equivariant Schwartz-MacPherson class already constructed by Ohmoto. We present Milnor type and Fulton type equivariant characteristic classes for singular hypersur- faces, as well as equivariant versions of the specialization homomorphisms, and then show a relation between these equivariant objects.
 
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Publishing Date
2023-06-16
 
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