# “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}
}
• Published 19 June 2015
• Mathematics
• arXiv: Number Theory
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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