论文标题
在特征p> 0
Hirsch weight-filtered log crystalline complex and Hirsch weight-filtered log crystalline dga of a proper SNCL scheme in characteristic p>0
论文作者
论文摘要
We construct a theory of the derived PD-Hirsch extension of the log crystalline complex of a log smooth scheme and we construct a fundamental filtered dga $(H_{{\rm zar},{\rm TW}},P)$ and a fundamental filtered complex $(H_{\rm zar},P)$ for a simple normal crossing log scheme $X$ over a family of log points by using为了克服[M]和[Nak4]中Padic Steenbrink复合物与$ X $的对数晶体复合物的杯产物的不兼容而产生的障碍物。当基本日志方案是特征$ p> 0 $的完美字段的日志点时，我们证明$（h _ {{\ rm zar}，{\ rm tw}}}，p）$和$（h _ {\ rm zar}，p）$，p）$对Kim和Hain complited comptive convected dga和他们的dga和kim和Hain和Hain的dga和kim and and and conpected and and and and and and and and and and and和Hain和Hain and and and and and [khh] khh。
We construct a theory of the derived PD-Hirsch extension of the log crystalline complex of a log smooth scheme and we construct a fundamental filtered dga $(H_{{\rm zar},{\rm TW}},P)$ and a fundamental filtered complex $(H_{\rm zar},P)$ for a simple normal crossing log scheme $X$ over a family of log points by using the log crystalline method in order to overcome obstacles arising from the incompatibility of the p-adic Steenbrink complexes in [M] and [Nak4] with the cup product of the log crystalline complex of $X$. When the base log scheme is the log point of a perfect field of characteristic $p>0$, we prove that $(H_{{\rm zar},{\rm TW}},P)$ and $(H_{\rm zar},P)$ is canonically isomorphic to Kim and Hain's filtered dga and their filtered complex in [KH], respectively.
