Work

The tautological ring of $M_{25}$ is not Gorenstein

Year: 2026

Type: preprint

Abstract: We show that the tautological ring of $M_{25}$ is not Gorenstein, disproving a conjecture of Faber from 1993. This also implies that the Faber-Zagier relations are the complete list of tautological relations on $M_{25}$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.15949

Author: Pixton, Aaron

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213230389

Cites: 3

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Related to: 10