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Chevalley's theorem for the complex crystallographic groups
Joseph Bernstein, Dimitry A. Leites and Ossip Schwarzman
We prove that for the irreducible Coxeter complex crystallographic group $W$ the following conditions are equivalent:
a) $W$ is generated by reflections;
b) the analytic variety $X/W$ is isomorphic to a weighted projective space.
The result is of interest, for example, in application to topological conformal field theory.