most recent 30 from http://mathoverflow.net 2013-06-20T07:51:06Z http://mathoverflow.net/feeds/question/108654 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/108654/representability-of-a-stack kino 2012-10-02T17:09:54Z 2012-10-02T17:09:54Z

<p>Hallo,</p> <p>I have the following question. Let $f:X\rightarrow Y$ be a morphism of stacks. Assume I know that $Y$ is representable by an algebraic scheme and that for every scheme $T$ and $\xi\in Y(T)$ the fiber $X\times_{f,\xi}T$ is representable by an algebraic scheme.</p> <p>Is it true that also $X$ is representable by an algebraic scheme?</p> <p>Thanks</p>