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• W2087268519 abstract "Let $N$ be the smallest integer such that there is a non-tautological cohomology class of even degree on $mathcal{bar M}_{2,N}$. We remark that there is such a non-tautological class on $mathcal{bar M}_{2,20}$, by work of Graber and Pandharipande. We show that $mathcal{bar M}_{2,N}$ has non-tautological cohomology only in one degree, which is not the middle degree. In particular, it follows that the tautological ring of $mathcal{bar M}_{2,N}$ is not Gorenstein. We present some evidence suggesting that N=20 holds." @default.
• W2087268519 created "2016-06-24" @default.
• W2087268519 creator A5007240312 @default.
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• W2087268519 date "2013-04-19" @default.
• W2087268519 modified "2023-10-03" @default.
• W2087268519 title "The Gorenstein conjecture fails for the tautological ring of $mathcal{overline{M}}_{2,n}$" @default.
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• W2087268519 doi "https://doi.org/10.1007/s00222-013-0466-z" @default.
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