A remark on a conjecture of Hain and Looijenga
Algebraic Geometry
2012-06-21 v2
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.
Cite
@article{arxiv.0812.3631,
title = {A remark on a conjecture of Hain and Looijenga},
author = {Carel Faber},
journal= {arXiv preprint arXiv:0812.3631},
year = {2012}
}
Comments
6 pages. To appear in Annales de l'Institut Fourier (Grenoble)