# Quotients of affine spaces for actions of reductive groups

@article{Halic2004QuotientsOA, title={Quotients of affine spaces for actions of reductive groups}, author={Mihai Halic}, journal={arXiv: Algebraic Geometry}, year={2004} }

In this paper we study actions of reductive groups on affine spaces. We prove that there is a fan structure on the space of characters of the group, which parameterizes the possible invariant quotients. In the second half of the paper we study various geometrical properties of the quotients: we compute their Chow ring and the cohomology ring (in case we work over the complex numbers), both with rational coefficients. Actually, the cycle map turns out to be an isomorphism. Further, we construct…

## 9 Citations

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