摘要翻译:
利用前文的局部构造,我们给出了等晶体在正特征沿边界因子过收敛的完全域上的一个数值不变量&微分Swan导体;这就导致了对一个变体的etale基本群的某些p-adic和l-adic表示的类似构造。然后,我们证明了这个定义对于过收敛等晶体的一些变分性质,特别注意表面的情况。
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英文标题:
《Swan conductors for p-adic differential modules, II: Global variation》
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作者:
Kiran S. Kedlaya
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最新提交年份:
2008
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分类信息:
一级分类:Mathematics 数学
二级分类:Number Theory 数论
分类描述:Prime numbers, diophantine equations, analytic number theory, algebraic number theory, arithmetic geometry, Galois theory
素数,丢番图方程,解析数论,代数数论,算术几何,伽罗瓦理论
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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:
Using a local construction from a previous paper, we exhibit a numerical invariant, the differential Swan conductor, for an isocrystal on a variety over a perfect field of positive characteristic overconvergent along a boundary divisor; this leads to an analogous construction for certain p-adic and l-adic representations of the etale fundamental group of a variety. We then demonstrate some variational properties of this definition for overconvergent isocrystals, paying special attention to the case of surfaces.
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PDF链接:
https://arxiv.org/pdf/0705.0031