Chow points of C-orbits

Details Chow points of C-orbits Chow points of C-orbits

2007-01-03

arxiv.org/abs/math/0701110v1

Math. Z. 261 (2009), no.1, 13--21

Mathematics

Algebraic Geometry

Scientific paper

We consider free algebraic actions of the additive group of complex numbers on a complex vector space X embedded in the complex projective space. We find an explicit formula for the map p that assigns to a generic point x in X the Chow point of the closure of the orbit through x. The properties Hausdorff quotient topology and proper action are equivalently characterized by the closure of the image of p in the closed Chow variety.

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