Effective morphisms and quotient stacks
Algebraic Geometry
2024-01-29 v2
Abstract
We give a valuative criterion for when a smooth algebraic stack with a separated good moduli space is the quotient of a separated Deligne-Mumford stack by a torus. For doing so, we introduce a new class of morphisms, the so-called effective morphisms, which are a generalization of separated morphisms.
Keywords
Cite
@article{arxiv.2303.10751,
title = {Effective morphisms and quotient stacks},
author = {Andrea Di Lorenzo and Giovanni Inchiostro},
journal= {arXiv preprint arXiv:2303.10751},
year = {2024}
}
Comments
25 pages, comments are welcome! v2: we corrected a gap in a proof and slightly modified the definition of effective morphism. To appear on IMRN