The Exponential Homomorphism for the Second Syntomic Cohomology
The Exponential Homomorphism for the Second Syntomic Cohomology
复制标题
第二句句上同调的指数同态
DOI：
10.1006/jabr.2000.8717
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发表时间：
2001
影响因子：
0.9
通讯作者：
Takao Yamazaki
中科院分区：
文献类型：
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作者：
Takao Yamazaki
设OK是一个完备的离散赋值环，其特征为p ≥ 3的完美剩余域F，M是一个自由滤子Dieudonne模。系数为M的第二相对同分上同调H2（（OK，F），S（M，2））是与算术几何相关的对象，例如Albanese核。本文通过构造指数同态来研究H2（（OK，F），S（M，2））.在假设M是Hodge-Witt型的，且OK的绝对分歧指数与p互素的条件下，我们确定了H ~ 2（（OK，F），S（M，2））的结构.
Abstract Let OK be a complete discrete valuation ring with perfect residue field F of characteristic p ≥ 3 and M a free filtered Dieudonne module. The second relative syntomic cohomology H2((OK, F), S (M, 2)) with coefficients in M is an object related to arithmetic geometry, such as the albanese kernel. In this article, we study H2((OK, F), S (M, 2)) by constructing the exponential homomorphism. We determine the structure of H2((OK, F), S (M, 2)), under the assumption that M is of Hodge–Witt type and that the absolute ramification index of OK is prime to p.