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

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

2004-07-02

arxiv.org/abs/math/0407036v1

Mathematics

Algebraic Geometry

12 pages

Scientific paper

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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