舒图克模栈的交上同调动机
代数几何
2020-02-19 v3 K理论与同调
数论
摘要
对于有限域上的分裂约化群G，我们证明具有有界修正与水平结构的迭代G-舒图克（shtukas）模栈的交上同调（cohomology）动机独立于关于动机三角范畴上动机t-结构的标準猜想而定义。这与函数域朗兰兹对应中l无关性的一般预期相一致。
引用
@article{arxiv.1901.04919,
title = {The intersection motive of the moduli stack of shtukas},
author = {Timo Richarz and Jakob Scholbach},
journal= {arXiv preprint arXiv:1901.04919},
year = {2020}
}
备注
Added a comparison with equivariant higher Chow groups, further minor edits. Final version, to appear in Forum of Mathematics Sigma. The former section 6 on Motives on Witt vector affine flag varieties has been removed and will appear elsewhere