Abstract
We study Hom 2-functors parameterizing 1-morphisms of algebraic stacks, and prove that they are representable by algebraic stacks under certain conditions, using Artin's criterion. As an application we study Picard 2-functors which parameterize line bundles on algebraic stacks.
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An erratum to this article is available at http://dx.doi.org/10.1007/s00229-006-0029-3.