"Scheme-theoretic images" of morphisms of stacks
Number Theory
2020-10-26 v7 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1506.06146,
title = {"Scheme-theoretic images" of morphisms of stacks},
author = {Matthew Emerton and Toby Gee},
journal= {arXiv preprint arXiv:1506.06146},
year = {2020}
}
Comments
137 pages; final version although not incorporating minor edits made in proof, appeared as Algebraic Geometry 8 (1) (2021) 1--132