Mathematische Zeitschrift

, Volume 270, Issue 1, pp 559–575

A remark on the C2-cofiniteness condition on vertex algebras

Authors

    • Department of MathematicsNara Women’s University
    • Research Institute for Mathematical SciencesKyoto University
Article

DOI: 10.1007/s00209-010-0812-4

Cite this article as:
Arakawa, T. Math. Z. (2012) 270: 559. doi:10.1007/s00209-010-0812-4

Abstract

We show that a finitely strongly generated, non-negatively graded vertex algebra is C2-cofinite if and only if it is lisse in the sense of Beilinson et al. (preprint). This shows that the C2-cofiniteness is indeed a natural finiteness condition.

Keywords

Vertex algebrasC2-cofiniteness

Mathematics Subject Classification (2000)

17B6917B6517B68

Copyright information

© Springer-Verlag 2010