Projective planes, Severi varieties and spheres

Details Projective planes, Severi varieties and spheres Projective planes, Severi varieties and spheres

2002-06-13

arxiv.org/abs/math/0206135v1

Surveys in Differential Geometry VIII, Papers in Honor of Calabi, Lawson, Siu and Uhlenbeck (International Press, Somerville,

Mathematics

Differential Geometry

28 pages, 1 figure, Latex

Scientific paper

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.

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