论文标题
系数系统和指数动机的启用
Exponentiation of coefficient systems and exponential motives
论文作者
论文摘要
我们构建了新的六个函数形式主义，以捕获具有潜力的品种的共同出现。从任何六函数形式主义$ c $开始，编码为系数系统，我们将新的六函数形式主义$ c _ {\ text {exp}} $关联。这尤其需要在$ \ infty $分类级别构建卷积产品对称单体结构。我们研究$ c _ {\ text {exp}} $及其与$ c $的关系。我们还将动机定义为$ c _ {\ text {exp}} $具有潜力并研究其特性的品种。
We construct new six-functor formalisms capturing cohomological invariants of varieties with potentials. Starting from any six-functor formalism $C$, encoded as a coefficient system, we associate a new six-functor formalism $C_{\text{exp}}$. This requires in particular constructing the convolution product symmetric monoidal structure at the $\infty$-categorical level. We study $C_{\text{exp}}$ and how it relates to $C$. We also define motives in $C_{\text{exp}}$ attached to varieties with potential and study their properties.
