On the conductor formula of Bloch
On the conductor formula of Bloch
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DOI：
10.1007/s10240-004-0026-6
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发表时间：
2004-11
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影响因子：
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通讯作者：
Kazuya Kato;Takeshi Saito
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文献类型：
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作者：
Kazuya Kato;Takeshi Saito
在[6]中，S. Bloch给出了局部域上簇的正则模型的l-adic Etale上同调的Artin导体的公式，并对曲线给出了证明。该公式，我们称之为导体公式的布洛赫，使我们能够计算导体的措施野生分歧使用层的微分1-形式。本文在约化闭纤维有法向交叉的假设下，证明了任意维情况下的公式。
In [6], S. Bloch conjectures a formula for the Artin conductor of the l-adic etale cohomology of a regular model of a variety over a local field and proves it for a curve. The formula, which we call the conductor formula of Bloch, enables us to compute the conductor that measures the wild ramification by using the sheaf of differential 1-forms. In this paper, we prove the formula in arbitrary dimension under the assumption that the reduced closed fiber has normal crossings.