标题： $\mathbb{C}$-motivic Steenrod 代数上同调中的稀疏周期族 显示英文标题

标题： A sparse periodic family in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra

摘要： 我们研究了 $\mathbb{C}$-motivic Steenrod 代数上同调中某一特定元素族，也称为 $\mathbb{C}$-motivic Adams $E_2$-面。这个族表现出一些不同寻常的周期性性质，并且与 $h_1$-局部化以及 motivic 模态形式谱 $\mathrm{mmf}$的代数 Hurewicz 映像都有关联。 显示英文摘要

摘要： We study a particular family of elements in the cohomology of the $\mathbb{C}$-motivic Steenrod algebra, also known as the $\mathbb{C}$-motivic Adams $E_2$-page. This family exhibits unusual periodicity properties, and it is related both to $h_1$-localization and to the algebraic Hurewicz image of the motivic modular forms spectrum $\mathrm{mmf}$.