Associated varieties of ordinary modules over quasi-lisse vertex algebras
Abstract
Abstract We prove that if $V$ is a conical simple self-dual quasi-lisse vertex algebra, and $M$ is an ordinary module then $\dim X_{M}=\dim X_{V}$. Hence, if moreover $X_{V}$ is irreducible then $X_{M}=X_{V}$. In particular, this applies to quasi-lisse simple affine vertex algebras $L_{k}({\mathfrak{g}})$. For admissible $k$ it reproves a result in [6], and it further extends it to non-admissible levels.
Fields of Study & Subjects
Algebraic structures and combinatorial models
Rings
Modules
and Algebras
Commutative Algebra and Its Applications
Publication details
- Journal / source
- International Mathematics Research Notices
- Volume
- 2026
- Issue
- 11
- Publication date
- 4 May 2026
- Language
- EN