论文标题
不正当同型心脏和MW-Modules
Perverse homotopy heart and MW-modules
论文作者
论文摘要
我们计算具有尺寸函数delta的基本方案，理性或在倒置等等的情况下的指数特征之后，计算动机稳定同型类别的不正当三角态心脏。为此，我们定义了同源性Milnor-Witt循环模块的概念，并构建了同型不变的Rost-Schmid循环复合物。此外，我们定义了共同体Milnor-Witt循环模块的类别，并在平滑情况下显示出双重性结果。
We compute the perverse delta-homotopy heart of the motivic stable homotopy category over a base scheme with a dimension function delta, rationally or after inverting the exponential characteristic in the equicharacteristic case. In order to do that, we define the notion of homological Milnor-Witt cycle modules and construct a homotopy-invariant Rost-Schmid cycle complex. Moreover, we define the category of cohomological Milnor-Witt cycle modules and show a duality result in the smooth case.
