On the tautological ring of ℳg

Eduard Looijenga

doi:10.1007/BF01884306

On the tautological ring of ℳ_g

Eduard Looijenga^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Academic › peer-review

Abstract

We prove that any product of tautological classes of ℳ_g of degree d (in the Chow ring of ℳ_g with rational coefficients) vanishes for d>g-2 and is proportional to the class of the hyperelliptic locus in degree g-2.

Original language	English
Pages (from-to)	411-419
Number of pages	9
Journal	Inventiones Mathematicae
Volume	121
Issue number	1
DOIs	https://doi.org/10.1007/BF01884306
Publication status	Published - 1 Dec 1995

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abstract = "We prove that any product of tautological classes of ℳg of degree d (in the Chow ring of ℳg with rational coefficients) vanishes for d>g-2 and is proportional to the class of the hyperelliptic locus in degree g-2.",

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On the tautological ring of ℳ_g

Abstract

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