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arXiv · 0812.3631

A remark on a conjecture of Hain and Looijenga

Carel Faber
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Abstract

After recalling the various tautological algebras of the moduli space of curves and some of its partial compactifications and stating several well-known results and conjectures concerning these algebras, we prove that the natural extension to the case of pointed curves of a 1996 conjecture of Hain and Looijenga is true if and only if two of the stated conjectures are true.

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Carel Faber. 2012-06-20. A remark on a conjecture of Hain and Looijenga. https://arxiv.org/abs/0812.3631

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