Mathematics – Algebraic Geometry
Scientific paper
2008-12-18
Mathematics
Algebraic Geometry
5 pages
Scientific paper
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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