“Scheme-theoretic images” of morphisms of stacks

@article{Emerton2015SchemetheoreticIO,
  title={“Scheme-theoretic images” of morphisms of stacks},
  author={Matthew Emerton and Toby Gee},
  journal={arXiv: Number Theory},
  year={2015}
}
We give criteria for certain morphisms from an algebraic stack to a (not necessarily algebraic) stack to admit an (appropriately defined) scheme-theoretic image. We apply our criteria to show that certain natural moduli stacks of local Galois representations are algebraic (or Ind-algebraic) stacks. 
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