Mathematische Zeitschrift

, Volume 270, Issue 1, pp 559-575

First online:

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

  • Tomoyuki ArakawaAffiliated withDepartment of Mathematics, Nara Women’s UniversityResearch Institute for Mathematical Sciences, Kyoto University Email author 

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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.


Vertex algebras C 2-cofiniteness

Mathematics Subject Classification (2000)

17B69 17B65 17B68