A remark on the C₂-cofiniteness condition on vertex algebras
classification
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cofinitenessconditionvertexalgebraalgebrasbeilinsoncofinitefeigin
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We show that a finitely strongly generated, non-negatively graded vertex algebra $V$ is $C_2$-cofinite if and only if it is lisse in the sense of Beilinson, Feigin and Mazur. This shows that the $C_2$-cofiniteness is indeed a natural finiteness condition.
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