A Question about Pic(X) as a G-module
Algebraic Geometry
2007-05-23 v1 Group Theory
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.
Cite
@article{arxiv.math/0407036,
title = {A Question about Pic(X) as a G-module},
author = {Daniel Goldstein and Robert M. Guralnick and David Joyner},
journal= {arXiv preprint arXiv:math/0407036},
year = {2007}
}
Comments
12 pages