Differentiable holonomic $AV$-modules
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909913333104640 |
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| author | Billig, Yuly Rocha, Henrique |
| author_facet | Billig, Yuly Rocha, Henrique |
| contents | We study differentiable holonomic sheaves of $AV$-modules on a smooth quasi-projective variety. We show that a simple differentiable holonomic sheaf $M$ of $AV$-modules is locally the tensor product of a simple holonomic $D$-module and a simple finite-dimensional $gl_n$-module $W$. In particular, in the case when $W$ is integrable, $M$ is the tensor product of a simple holonomic $D$-module and the tensor module associated with $W$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_14984 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Differentiable holonomic $AV$-modules Billig, Yuly Rocha, Henrique Representation Theory Algebraic Geometry 17B10, 17B66, 32C38 We study differentiable holonomic sheaves of $AV$-modules on a smooth quasi-projective variety. We show that a simple differentiable holonomic sheaf $M$ of $AV$-modules is locally the tensor product of a simple holonomic $D$-module and a simple finite-dimensional $gl_n$-module $W$. In particular, in the case when $W$ is integrable, $M$ is the tensor product of a simple holonomic $D$-module and the tensor module associated with $W$. |
| title | Differentiable holonomic $AV$-modules |
| topic | Representation Theory Algebraic Geometry 17B10, 17B66, 32C38 |
| url | https://arxiv.org/abs/2511.14984 |