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
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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:Turk. J. Math. · (2001) · 237-243. Full text: pdf Other articles published in the same issue: Turk. J. Math.
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.
Özet
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.
Vakil, T. G. (2001). On the tautological ring of \bar{\mathcal{M}}g,n. Turkish Journal of Mathematics, Cilt: 25 - Sayı: 1, 237–243. https://ajindex.com/articles/723452