On independence of generators of the tautological rings

D. Arcara Department of Mathematics, Saint Vincent College, Latrobe PA 15650 Yuan-Pin Lee Department of Mathematics, University of Utah, Salt Lake City, Utah, 84112

Algebraic Geometry mathscidoc:2204.45020

2006.5
We prove that all monomials of κ-classes and ψ-classes are independent in $R^k(\ocM_{g,n})/R^k(\partial\ocM_{g,n})$ for all k≤[g/3]. We also give a simple argument for κ_l≠0 in $R^l(\ocM_g)$ for l≤g−2.
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@inproceedings{d.2006on,
  title={On independence of generators of the tautological rings},
  author={D. Arcara, and Yuan-Pin Lee},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415113801335031038},
  year={2006},
}
D. Arcara, and Yuan-Pin Lee. On independence of generators of the tautological rings. 2006. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20220415113801335031038.
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