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Mathematical Research Letters
Volume 8 (2001)
Number 6
The map $V\longrightarrow V/\!/G$ need not be separable
Pages: 813 – 817
DOI: https://dx.doi.org/10.4310/MRL.2001.v8.n6.a11
Authors
Abstract
We construct a vector space $V$ with a linear action of a reductive group $G$ such that the quotient map $V \longrightarrow V/\!/G$ (in the sense of geometric invariant theory) fails to be separable. This gives a counterexample to an assertion of Bardsley and Richardson.
Published 1 January 2001