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Real points in a homogeneous space of a real algebraic group

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arxiv 2106.14871 v2 pith:NDXPWQ5X submitted 2021-06-28 math.AG math.GRmath.RT

Real points in a homogeneous space of a real algebraic group

Mikhail Borovoi This is my paper
classification math.AG math.GRmath.RT
keywords realalgebraicgrouphomogeneousmethodpointsspacecalculations
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Let G be a linear algebraic group over the field of real numbers R, and let Y be a right homogeneous space of G. We wish to find a real point of Y or to prove that Y has no real points. We describe a method to do that, implicitly using second nonabelian Galois cohomology. Our method is suitable for computer-assisted calculations.

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