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Journals / Turkish Journal of Mathematics / 2001 / Cilt: 25 - Sayı: 1

On the tautological ring of Mg,n

Tom GRABER
Ravi VAKIL
Pages
237–243
Publication Date
2022-11-05
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

This provides the first genus-free evidence for a conjecture of Faber and Pandharipande that the tautological ring of the moduli space is Gorenstein, answering in the affirmative a question of Hain and Looijenga.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We prove that the dimension 0 part of the tautological ring of the moduli space of stable pointed curves is one-dimensional.
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Key Findings & Data:We prove that the dimension 0 part of the tautological ring of the moduli space of stable pointed curves is one-dimensional.
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Conclusion & Impact:This provides the first genus-free evidence for a conjecture of Faber and Pandharipande that the tautological ring of the moduli space is Gorenstein, answering in the affirmative a question of Hain and Looijenga.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We prove that the dimension 0 part of the tautological ring of the moduli space of stable pointed curves is one-dimensional. This provides the first genus-free evidence for a conjecture of Faber and Pandharipande that the tautological ring of the moduli space is Gorenstein, answering in the affirmative a question of Hain and Looijenga.

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Cite This Article

GRABER, T., VAKIL, R. (2022). On the tautological ring of Mg,n. Turkish Journal of Mathematics, Cilt: 25 - Sayı: 1, 237–243. https://ajindex.com/articles/608876

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References (3)

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