Aplicações singulares via grupos de reflexões

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2020-04-24

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Universidade Federal de São Carlos

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Abstract

Our objective with this essay is to describe a way to build germs of applications A-finite f:(\C^{n},0) \rightarrow (\C^{p},0) for p=2n and p=2n-1. In the case p<2n-1, we conclude that there is no germ of reflection application A-finite f:(\C^{n},0) \rightarrow (\C^{p},0) with corank f greater or equal 2.

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A-equivalência , Grupos de reflexão , Aplicações de reflexões , Multiplicidades , Espaços de pontos múltiplos , A-equivalence , Reflection groups , Reflection maps , Multiplicities , Multiple-point spaces

Citation

ZAMPIVA, José Rafael Borges. Aplicações singulares via grupos de reflexões. 2020. Dissertação (Mestrado em Matemática) – Universidade Federal de São Carlos, São Carlos, 2020. Disponível em: https://repositorio.ufscar.br/handle/20.500.14289/13046.

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https://repositorio.ufscar.br/handle/20.500.14289/13046

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Attribution-NonCommercial-NoDerivs 3.0 Brazil
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivs 3.0 Brazil