On global generation of vector bundles on the moduli space of curves from representations of \n vertex operator algebras

On global generation of vector bundles on the moduli space of curves from representations of \n vertex operator algebras
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DOI:
10.14231/ag-2023-010
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发表时间:
2021-07
期刊:
影响因子:
1.5
通讯作者:
Chiara Damiolini;A. Gibney
Chiara Damiolini;A. Gibney
中科院分区:
数学1区
文献类型:
--
作者:
Chiara Damiolini;A. Gibney

文献摘要

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我们考虑全局生成层的协不变曲线的模空间上的简单模块在某些顶点算子代数,扩展结果的仿射VOA在可积水平上稳定的点有理曲线。全局生成失败的例子,并给出了积极的进一步证据。
We consider global generation of sheaves of coinvariants on the moduli space of curves given by simple modules over certain vertex operator algebras, extending results for affine VOAs at integrable levels on stable pointed rational curves. Examples where global generation fails, and further evidence of positivity are given.