Please use this identifier to cite or link to this item: http://www.repositorio.ufc.br/handle/riufc/50537
Title in Portuguese: Lipschitz geometry of complex plane algebraic curves.
Title: Lipschitz geometry of complex plane algebraic curves.
Author: Targino, Renato Oliveira
Advisor(s): Fernandes, Alexandre César Gurgel
Co-advisor(s): Pichon, Anne
Keywords: Curvas algébricas planas e complexas
Geometria Lipschitz
Plane algebraic curves
Lipschitz geometry
Issue Date: 13-Feb-2020
Citation: TARGINO, Renato Oliveira. Lipschitz geometry of complex plane algebraic curves. 2020. 54 f. Tese (Doutorado em Matemática) – Centro de Ciências, Universidade Federal do Ceará, Fortaleza, 2020.
Abstract in Portuguese: Apresentamos a classificação completa de curvas algébricas planas e complexas, com métrica euclidiana induzida, a menos de homeomorfismo bilipschitz. Em particular, provamos um teorema que fornece a classificação completa da geometria Lipschitz no infinito de curvas planas algébricas complexas. Sintetizamos objetos combinatórios que codificam tanto a geometria Lipschitz como a geometria Lipschitz no infinito de curvas algébricas planas e complexas.
Abstract: We present the complete classification of complex plane algebraic curves, equipped with the induced Euclidean metric, up to global bilipschitz homeomorphism. In particular, we prove a theorem giving a complete classification of the Lipschitz geometry at infinity of complex algebraic plane curves. We synthesize combinatorial objects that encode both Lipschitz geometry and Lipschitz geometry at infinity of complex algebraic plane curves.
URI: http://www.repositorio.ufc.br/handle/riufc/50537
metadata.dc.type: Tese
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