Swan conductors for p-adic differential modules. II Global variation

Swan conductors for p-adic differential modules. II Global variation
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用于 p-adic 差分模块的 Swan 导体。

DOI:
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发表时间:
2007
影响因子:
0.9
通讯作者:
K. Kedlaya
K. Kedlaya
中科院分区:
数学1区
文献类型:
--
作者:
K. Kedlaya

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Abstract 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 étale 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.