论文标题
Hochschild-Kostant-Rosenberg定理和对数Hochschild同源性的残留序列
A Hochschild-Kostant-Rosenberg theorem and residue sequences for logarithmic Hochschild homology
论文作者
论文摘要
本文将Hochschild同源性理论纳入了我们的日志动机计划。我们讨论了对数霍基柴尔德同源性的几何定义，并构建了André-Quillen型光谱序列。后者对离散预循环环之间的派生对数平滑图进行了退化。我们采用此功能来显示Hochschild-Kostant-Rosenberg定理的对数版本，并且对数Hochschild同源性在日志动机类别中可以表示。在应用中，我们推断出涉及日志方案的爆炸的广义残基序列。
This paper incorporates the theory of Hochschild homology into our program on log motives. We discuss a geometric definition of logarithmic Hochschild homology of derived pre-log rings and construct an André-Quillen type spectral sequence. The latter degenerates for derived log smooth maps between discrete pre-log rings. We employ this to show a logarithmic version of the Hochschild-Kostant-Rosenberg theorem and that logarithmic Hochschild homology is representable in the category of log motives. Among the applications, we deduce a generalized residue sequence involving blow-ups of log schemes.
