Complexo quadrático de retas
AUTOR(ES)
Amanda Goncalves Saraiva
DATA DE PUBLICAÇÃO
2007
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.
ASSUNTO(S)
geometria algebrica teses. matemática teses. superfícies (matemática) teses.
ACESSO AO ARTIGO
http://hdl.handle.net/1843/EABA-72VK9KDocumentos Relacionados
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