Chow points of C-orbits
Algebraic Geometry
2011-09-20 v1 Complex Variables
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.
Keywords
Cite
@article{arxiv.math/0701110,
title = {Chow points of C-orbits},
author = {Annett Puettmann},
journal= {arXiv preprint arXiv:math/0701110},
year = {2011}
}