Complexo quadrático de retas
| Ano de defesa: | 2007 |
|---|---|
| Autor(a) principal: | |
| Orientador(a): | |
| Banca de defesa: | |
| Tipo de documento: | Dissertação |
| Tipo de acesso: | Acesso aberto |
| Idioma: | por |
| Instituição de defesa: |
Universidade Federal de Minas Gerais
UFMG |
| Programa de Pós-Graduação: |
Não Informado pela instituição
|
| Departamento: |
Não Informado pela instituição
|
| País: |
Não Informado pela instituição
|
| Palavras-chave em Português: | |
| Link de acesso: | http://hdl.handle.net/1843/EABA-72VK9K |
Resumo: | On studying the Grassmanian of lines in projective space and Plücker's Quadric related to it, we noted the presence of interesting congurations of lines. From those congurations, a surface in projective space, the so called Kummer's surface, arrives. We analyze several properties of the Kummer's surface, among those, the fact that it has exactly 16 singular points, ad in order to show this assertation, we make straightfowardly use of Schubert's Calculus, also introduced in the present dissertation. Afterwards, some lines complexes related to the fourth degree surface, in 5 dimensional projective space, - which is birrationally equivalent to Kummer' surface are analyzed. Also, in this same subject of line_s complexes, curious relations among Kummer's surface and its dual are found and stated here. Key - words: Kümmer, Grassmanniana, Schubert. |