A Question about Pic(X) as a G-module
Daniel Goldstein, Robert M. Guralnick, David Joyner
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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