Distinguishing Algebraic Spaces from Schemes
Algebraic Geometry
2024-11-12 v1
Abstract
We introduce local invariants of algebraic spaces and stacks which measure how far they are from being a scheme. Using these invariants, we develop mostly topological criteria to determine when the moduli space of a stack is a scheme. As an application we study moduli of principal bundles on a smooth projective curve.
Cite
@article{arxiv.2411.07169,
title = {Distinguishing Algebraic Spaces from Schemes},
author = {Andres Fernandez Herrero and Dario Weißmann and Xucheng Zhang},
journal= {arXiv preprint arXiv:2411.07169},
year = {2024}
}