Poincaré Duality for Logarithmic Crystalline Cohomology
Poincaré Duality for Logarithmic Crystalline Cohomology
复制标题
对数晶体上同调的庞加莱对偶性
DOI：
10.1023/a:1001020809306
复制
发表时间：
1999
影响因子：
1.8
通讯作者：
Takeshi Tsuji
中科院分区：
文献类型：
--
作者：
Takeshi Tsuji
我们证明了其基础方案是约化的对数光滑格式的对数结晶上同调的Poincaré对偶性。这是P.Berthelot关于一般光滑格式的结果和O.半稳定族和平凡系数的特殊纤维的Hyodo。
We prove Poincaré duality for logarithmic crystalline cohomology of log smooth schemes whose underlying schemes are reduced. This is a generalization of the result of P. Berthelot for usual smooth schemes and that of O. Hyodo for the special fibers of semi-stable families and trivial coefficients.