, Volume 270, Issue 1-2, pp 559-575

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

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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.

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