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A Question about Pic(X) as a G-module

Daniel Goldstein·Robert M. Guralnick·David Joyner
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Abstract

Let G be a finite group acting faithfully on an irreducible non-singular projective curve defined over an algebraically closed field F. Does every G-invariant divisor class contain a G-invariant divisor? The answer depends only on G and not on the curve. We answer the same question for degree 0 divisor (classes). We investigate the question for cycles on varieties.

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Daniel Goldstein, Robert M. Guralnick, David Joyner. 2004-07-02. A Question about Pic(X) as a G-module. https://arxiv.org/abs/math/0407036

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