Weakly holonomic equivariant $\mathcal{D}$-modules on rigid analytic spaces

Tobias Schmidt; Thi Minh Phuong Vu

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arXiv · 2011.10019

Weakly holonomic equivariant $\mathcal{D}$-modules on rigid analytic spaces

Tobias Schmidt·Thi Minh Phuong Vu

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Abstract

Let G be a $p$-adic Lie group. We develop a dimension theory for coadmissible G-equivariant $\mathcal{D}$-modules on smooth rigid analytic spaces. We introduce the category of weakly holonomic G-equivariant $\mathcal{D}$-modules, study its duality and its preservation under various operations.

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BibTeX RIS

Tobias Schmidt, Thi Minh Phuong Vu. 2020-11-19. Weakly holonomic equivariant $\mathcal{D}$-modules on rigid analytic spaces. https://arxiv.org/abs/2011.10019

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