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PreprintarXiv licencearXiv

The tautological ring of M25 is not Gorenstein

  • Aaron Pixton
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Abstract

We show that the tautological ring of M25 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 M25.

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Cite

BibTeXRIS
BibTeX
@misc{pixton2026tautological,
  title = {{The tautological ring of $M_25$ is not Gorenstein}},
  author = {Aaron Pixton},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.15949},
  eprint = {2609.15949},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.15949},
}
RIS
TY  - UNPB
TI  - The tautological ring of M_25 is not Gorenstein
AU  - Aaron Pixton
PY  - 2026
DA  - 2026/09/14
PB  - arXiv
DO  - 10.48550/arxiv.2609.15949
UR  - https://arxiv.org/abs/2609.15949
AB  - 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.
ER  -