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arXiv 1502.01273math.NTmath.RT
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刚性解析空间II上的D-模:Kashiwara等价

D-modules on rigid analytic spaces II: Kashiwara's equivalence

Konstantin Ardakov, Simon J. Wadsley

摘要:

证明了支撑在闭光滑子簇上的光滑刚性解析空间上的余容许D-帽模范畴与闭光滑子簇上的余容许D-帽模范畴自然等价,并利用这一结果构造了一大类两两非同构的单余容许D-帽模.

英文摘要:

We prove that the category of coadmissible D-cap-modules on a smooth rigid analytic space supported on a closed smooth subvariety is naturally equivalent to the category of coadmissible D-cap-modules on the subvariety, and use this result to construct a large family of pairwise non-isomorphic simple coadmissible D-cap-modules.

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