A remark on the C 2-cofiniteness condition on vertex algebras

被引：63

作者：

Arakawa, Tomoyuki ^{[1
]}

机构：

[1] Nara Womens Univ, Dept Math, Nara 6308506, Japan

来源：

MATHEMATISCHE ZEITSCHRIFT | 2012年 / 270卷 / 1-2期

关键词：

Vertex algebras; C-2-cofiniteness; MODULAR-INVARIANCE; OPERATOR-ALGEBRAS; RATIONALITY; FINITE;

D O I：

10.1007/s00209-010-0812-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that a finitely strongly generated, non-negatively graded vertex algebra is C (2)-cofinite if and only if it is lisse in the sense of Beilinson et al. (preprint). This shows that the C (2)-cofiniteness is indeed a natural finiteness condition.

引用

页码：559 / 575

页数：17

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