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

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arxiv 2209.06688 v1 pith:D5OBBTSO submitted 2022-09-14 math.AG

Maria Gillespie , Sean T. Griffin , Jake Levinson This is my paper · ORCID
classification math.AG
keywords conjecturedefiningequationsmathbbmoninranatimescdots
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abstract

Monin and Rana conjectured a set of equations defining the image of the moduli space $\bar{M}_{0,n}$ 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 $n$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Parke-Taylor varieties

    math.AG 2025-09 conditional novelty 8.0 of 10

    The Parke-Taylor variety is linearly isomorphic to the classical log canonical embedding of the moduli space M0,n, and its ideal is generated by binomial adjacency relations plus lifts of Plücker relations.

  2. Log Canonical Models and Positive Geometries

    math.AG 2026-07 accept novelty 7.0 of 10

    When a compactification has genus zero and a degree-one log canonical ring, canonical forms of positive geometries realize the log canonical embedding and supply its equations.

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