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Chow points of C-orbits

Annett Puettmann
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Abstract

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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Annett Puettmann. 2007-01-03. Chow points of C-orbits. https://arxiv.org/abs/math/0701110

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