English

Hom stacks

Algebraic Geometry 2007-05-23 v3

Abstract

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.

Keywords

Cite

@article{arxiv.math/0503358,
  title  = {Hom stacks},
  author = {Masao Aoki},
  journal= {arXiv preprint arXiv:math/0503358},
  year   = {2007}
}

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21 pages