论文标题
限制混合霍奇结构对射影可半固定光滑变性的相对log de rham共同体学组
Limiting mixed Hodge structures on the relative log de Rham cohomology groups of a projective semistable log smooth degeneration
论文作者
论文摘要
我们证明，射影半固定的log平滑变性的相对日志DE RHAM共同体组允许自然\ textit {limiting {limiting}混合霍奇结构。更确切地说，我们在相对的log de rham共同体学组上建立了一个越来越多的过滤家族和一个nilpotent的内态家族，并表明它们满足了几个变量中nilpotnet轨道的良好性质的一部分。
We prove that the relative log de Rham cohomology groups of a projective semistable log smooth degeneration admit a natural \textit{limiting} mixed Hodge structure. More precisely, we construct a family of increasing filtrations and a family of nilpotent endomorphisms on the relative log de Rham cohomology groups and show that they satisfy a part of good properties of a nilpotnet orbit in several variables.
