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arXiv 2011.100192020-11math.RT

刚性解析空间上的弱全纯等变$\u0001d49f$-模

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

Tobias Schmidt, Thi Minh Phuong Vu

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AI总结：

针对p进李群作用下的刚性解析空间$\u0001d49f$-模，研究者建立余可允许等变模的维数理论，提出弱全纯等变$\u0001d49f$-模范畴并研究其对偶与运算保持性质。

摘要：

设G为p进李群。我们建立了光滑刚性解析空间上余可允许G-等变$\u0001d49f$-模的维数理论，引入了弱全纯G-等变$\u0001d49f$-模的范畴，研究了其对偶性及在多种运算下的保持性。

英文摘要：

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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