The Geometry of Triangles
Algebraic Geometry
2023-09-06 v2
Abstract
In this article we make the concept of a continuous family of triangles precise and prove the moduli functor classifying oriented triangles admits a fine moduli space but the functor classifying non-oriented triangles only admits a coarse moduli space. We hope moduli spaces of triangles can help understand stacks.
Cite
@article{arxiv.2205.07227,
title = {The Geometry of Triangles},
author = {Yining Chen},
journal= {arXiv preprint arXiv:2205.07227},
year = {2023}
}