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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Differentials on quotients of algebraic varieties


Author: Carol M. Knighten
Journal: Trans. Amer. Math. Soc. 177 (1973), 65-89
MSC: Primary 14F10
DOI: https://doi.org/10.1090/S0002-9947-1973-0323788-5
MathSciNet review: 0323788
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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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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1973-0323788-5
Keywords: Quotient of algebraic variety, Zariski differentials, Kähler differentials, invariant differentials, ramified, action of finite group
Article copyright: © Copyright 1973 American Mathematical Society