Author

A. Pixton

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Preprint Sep 2026

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

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 $M_{25}$.

A. Pixton · 0 citations