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arXiv 1902.03540math.NTmath.AG
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有理Etale场地对偶形式的改进

An improvement of the duality formalism of the rational etale site

Takashi Suzuki

摘要:

我们改进了有理定址的算术对偶形式。这一改进使我们避免了一些奇异的近似参数的局部域与ind-rational基地,从而简化了证明以前建立的对偶定理的理性etale网站,使形式更方便用户。在随后的论文中,这个新的提法将被用于一个重要的方式来研究二元局部环的对偶性。

英文摘要:

We improve the arithmetic duality formalism of the rational etale site. This improvement allows us to avoid some exotic approximation arguments on local fields with ind-rational base, thus simplifying the proofs of the previously established duality theorems in the rational etale site and making the formalism more user-friendly. In a subsequent paper, this new formulation will be used in a crucial way to study duality for two-dimensional local rings.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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