A question on the Néron-Severi group of $(S\times C)/G$ - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-23T06:45:03Z http://mathoverflow.net/feeds/question/110232 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/110232/a-question-on-the-neron-severi-group-of-s-times-c-g A question on the Néron-Severi group of $(S\times C)/G$ Pooya 2012-10-21T12:36:37Z 2012-10-21T12:41:58Z <p>Let $S$ be an smooth algebraic surface and $C$ be a smooth curve, both over $\mathbb{C}$. Assume that a finite group $G$ acts on $S$ and $C$ respectively and the induced acting of $G$ on $S\times C$ has no fixed point. I now want to compute $NS((S\times C)/G)$. Is it true that $NS((S\times C)/G)\cong NS(S\times C)^G$ as abelian groups? </p>