, Volume 270, Issue 1-2, pp 559-575
Date: 20 Nov 2010

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.