Projective planes, Severi varieties and spheres

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A classical result asserts that the complex projective plane modulo complex conjugation is the 4-dimensional sphere. We generalize this result in two directions by considering the projective planes over the normed real division algebras and by considering the complexifications of these four projective planes.
28 pages, 1 figure, Latex

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Differential Geometry, Algebraic Geometry, 53C30

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http://salesiana.dossiersoluciones.com/handle/123456789/64297

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206135
 http://arxiv.org/abs/math/0206135
 Surveys in Differential Geometry VIII, Papers in Honor of Calabi, Lawson, Siu and Uhlenbeck (International Press, Somerville, MA, 2003) 1-27.

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arXiv