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arXiv · 2511.14984

Differentiable holonomic $AV$-modules

Yuly Billig·Henrique Rocha
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Abstract

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 $W$.

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Yuly Billig, Henrique Rocha. 2025-11-18. Differentiable holonomic $AV$-modules. https://arxiv.org/abs/2511.14984

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