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A remark on the C 2-cofiniteness condition on vertex algebras

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Abstract

We show that a finitely strongly generated, non-negatively graded vertex algebra is C 2-cofinite if and only if it is lisse in the sense of Beilinson et al. (preprint). This shows that the C 2-cofiniteness is indeed a natural finiteness condition.

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  1. Tomoyuki Arakawa

    Present address: Research Institute for Mathematical Sciences, Kyoto University, Kyoto, 606-8502, Japan

Authors and Affiliations

  1. Department of Mathematics, Nara Women’s University, Nara, 630-8506, Japan

    Tomoyuki Arakawa

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  1. Tomoyuki Arakawa
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Correspondence to Tomoyuki Arakawa.

Additional information

This work is partially supported by the JSPS Grant-in-Aid for Scientific Research (B) No. 20340007.

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Arakawa, T. A remark on the C 2-cofiniteness condition on vertex algebras. Math. Z. 270, 559–575 (2012). https://doi.org/10.1007/s00209-010-0812-4

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  • DOI: https://doi.org/10.1007/s00209-010-0812-4

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