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

· 2010 · math.QA · arXiv 1004.1492

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abstract

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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math.QA 1

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2026 1

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Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories

math.QA · 2026-06-23 · unverdicted · novelty 7.0

Constructs ħ-adic sheaves of vertex superalgebras on hypertoric varieties, proves the associated affine variety recovers the singular hypertoric one, establishes the 3d Higgs branch conjecture for abelian cases, and shows the algebras are fermionic simple-current extensions of prior even versions wi

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  • Vertex Superalgebras for Hypertoric Varieties and 3d Abelian Gauge Theories math.QA · 2026-06-23 · unverdicted · none · ref 15 · internal anchor

    Constructs ħ-adic sheaves of vertex superalgebras on hypertoric varieties, proves the associated affine variety recovers the singular hypertoric one, establishes the 3d Higgs branch conjecture for abelian cases, and shows the algebras are fermionic simple-current extensions of prior even versions wi