导模乘法群的预定向
Preorientations of the derived motivic multiplicative group
摘要：
我们提供了一个证明语言的模型类别和对称谱的Lurie定理，拓扑复杂$K$ -理论表示方向的派生乘法群。然后我们把这个结果推广到动机情境。一路上，一些有用的模型结构和Quillen方程都在经典和动机的情况下建立。
英文摘要：
We provide a proof in the language of model categories and symmetric spectra of Lurie's theorem that topological complex $K$-theory represents orientations of the derived multiplicative group. Then we generalize this result to the motivic situation. Along the way, a number of useful model structures and Quillen adjunctions both in the classical and in the motivic case are established.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
