论文标题
与日志方案相关的Voevodsky动机
A Voevodsky motive associated to a log scheme
论文作者
论文摘要
对于每个FS日志方案$（X，\ Mathcal M_x）$在字段$ K $上，我们构建了DM_ {gm}（k，\ Mathbb Q）$ in DM_ {gm}中的几何Voevodsky Motive $ [x]^{log} \ in。我们证明，对于$ k = \ mathbb c $，$ [x]^{log} $的betti实现是$（x，x，\ mathcal m_x）$的log betti共同体。我们将动机邻域，限制动机和单片过滤提供应用。
For each fs log scheme $(X,\mathcal M_X)$ over a field $k$ we construct a geometrical Voevodsky motive $[X]^{log}\in DM_{gm}(k,\mathbb Q)$. We prove that, for $k=\mathbb C$, the Betti realization of $[X]^{log}$ is the log Betti cohomology of $(X, \mathcal M_X)$. We give applications to motivic tubular neighborhoods, limit motives and the monodromy filtrations.
