A remark on the $C_2$-cofiniteness condition on vertex algebras

Details A remark on the $C_2$-cofiniteness condition on vertex algebras A remark on the $C_2$-cofiniteness condition on vertex algebras

2010-04-09

arxiv.org/abs/1004.1492v2

Mathematics

Quantum Algebra

revised version

Scientific paper

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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