2 papers
math.AG2024
The Stack of Similarity Classes of Triangles
Eric Brussel, Madeleine Goertz, Elijah Guptill +1
We construct the smooth, compact moduli space of similarity classes of labeled, oriented triangles. The space, denoted , is a connected sum of three projective planes,…
math.MG2023
The Torus of Triangles
Eric Brussel, Madeleine E. Goertz
We prove the 2-torus , an abelian linear algebraic group, is a fine moduli space of labeled, oriented, possibly-degenerate inscribable similarity classes of triangles, w…