Differentials on quotients of algebraic varieties

Knighten, Carol M.

doi:10.1090/S0002-9947-1973-0323788-5

Differentials on quotients of algebraic varieties
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by Carol M. Knighten PDF

Trans. Amer. Math. Soc. 177 (1973), 65-89 Request permission

Abstract:

The relations between differentials invariant with respect to a finite group acting on a variety and the differentials on the quotient variety are studied. If the quotient map is unramified in codimension 1 we have an isomorphism for Zariski differentials, but not in general for Käahler differentials. Necessary and sufficient conditions for isomorphism of the Zariski differentials are given when the finite group acts linearly. Examples illustrate the scope of the theorems and some open problems.

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