Hom stacks

Mathematics – Algebraic Geometry

Scientific paper

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21 pages

Scientific paper

We study Hom 2-functors parameterizing 1-morphisms of algebraic stacks, and
prove that it is representable by an algebraic stack under certain conditions,
using Artin's criterion. As an application we study Picard 2-functors which
parameterizes line bundles on algebraic stacks.

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