Abstract
We prove that any product of tautological classes of ℳ g of degreed (in the Chow ring of ℳ g with rational coefficients) vanishes ford>g−2 and is proportional to the class of the hyperelliptic locus in degreeg−2.
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In memory of Nicolaas H. Kuiper (1920–1994)
Oblatum 28-I-1195 & 15-IV-1995
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Looijenga, E. On the tautological ring of ℳ g . Invent Math 121, 411–419 (1995). https://doi.org/10.1007/BF01884306
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DOI: https://doi.org/10.1007/BF01884306