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A remark on a conjecture of Hain and Looijenga

Carel Faber (2011)

Annales de l’institut Fourier

We show that the natural generalization of a conjecture of Hain and Looijenga to the case of pointed curves holds for all g and n if and only if the tautological rings of the moduli spaces of curves with rational tails and of stable curves are Gorenstein.

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