Work

A proof of a conjecture by Monin and Rana on equations defining $\overline{M}_{0,n}$

Year: 2026

Type: article

Abstract: Monin and Rana conjectured a set of equations defining the image of the moduli space \overline{M}_{0,n} under an embedding into \mathbb{P}^{1}\times \cdots\times \mathbb{P}^{n-3} due to Keel and Tevelev and verified the conjecture for n\leq 8 using Macaulay2. We prove this conjecture for all n .

Source: Journal of Combinatorial Algebra

DOI: 10.4171/jca/131

Authors: Maria Gillespie, Sean T. Griffin, Jake Levinson

Institutions: Colorado State University, University of North Texas, Université de Montréal

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: National Science Foundation, Natural Sciences and Engineering Research Council of Canada

Awards: Institute for Computational and Experimental Research in Mathematics, Representation Theory and Moduli Spaces via Young Tableaux and Parking Functions, G6956711515