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摘要翻译：
我们证明了在光滑曲线上与过收敛F-等晶体相关的算术D-模是完整的。我们首先利用单势F-等晶来自于对数F-等晶这一事实，证明了单势F-等晶是完整的D-模。利用Andr\'e、Kedlaya和Mebkhout独立证明的p-adic单子定理，从Matsuda-Trihan曲线上f-等晶半稳定定理导出了一般情况。主要结果已被D.Caro证明。
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英文标题：
《Sur l'holonomie de D-modules arithm\'etiques associ\'es \`a des
F-isocristaux surconvergents sur des courbes lisses》
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作者：
Christine Noot-Huyghe (IRMA), Fabien Trihan (UMH)
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最新提交年份：
2007
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
We show that the arithmetic D-module associated to an overconvergent F-isocrystal over a smooth curve is holonomic. We first prove that unipotent F-isocrystals are holonomic D-module by using the fact that such F-isocrystals come from logarithmic F-isocrystals. We deduce the general case from the semi-stable theorem for F-isocrystals over curves of Matsuda-Trihan which relies on the p-adic monodromy theorem independently proved by Andr\'e, Kedlaya and Mebkhout. The main result has already been proved by D. Caro.
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PDF链接：
https://arxiv.org/pdf/0705.0416
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