On the tautological ring of $\bar{M}_{g,n}$

Details On the tautological ring of $\bar{M}_{g,n}$ On the tautological ring of $\bar{M}_{g,n}$

2000-11-15

arxiv.org/abs/math/0011100v1

Mathematics

Algebraic Geometry

7 pages, 1 figure

Scientific paper

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.

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