Projective planes, Severi varieties and spheres
classification
🧮 math.DG
math.AG
keywords
projectiveplanescomplexconsideringresultalgebrasassertsclassical
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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.
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