Abstract
We look at the orbifold C n /� witha finite subgroup of U (n) from two perspectives: from a differential point of view it is a non-compact orbifold with boundary at infinity S 2n−1 /� , while from an algebraic point of view it is a scheme with coordinate ring the � -invariant polynomials in n variables. The main result is a relation between the η-invariant of the boundary (an analytical object) and the Molien series of the singularity (an algebraic object).
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