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

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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.
12 pages

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Algebraic Geometry, Group Theory, 14H30;14F35;14H37

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http://salesiana.dossiersoluciones.com/handle/123456789/71761

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0407036
 http://arxiv.org/abs/math/0407036

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arXiv