Projective planes, Severi varieties and spheres
Differential Geometry
2007-05-23 v1 Algebraic Geometry
Abstract
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.
Cite
@article{arxiv.math/0206135,
title = {Projective planes, Severi varieties and spheres},
author = {Michael Atiyah and Jurgen Berndt},
journal= {arXiv preprint arXiv:math/0206135},
year = {2007}
}
Comments
28 pages, 1 figure, Latex