Bloch’s formula for 0-cycles with modulus and higher-dimensional class field theory
Bloch’s formula for 0-cycles with modulus and higher-dimensional class field theory
复制标题
带模和高维类场论的 0 循环布洛赫公式
DOI：
10.1090/jag/792
复制
发表时间：
2022
影响因子：
1.8
通讯作者：
Saito Shuji
中科院分区：
文献类型：
--
作者：
Binda Federico;Krishna Amalendu;Saito Shuji
证明了域上光滑拟射影曲面上模为0-圈的Chow群的Bloch公式。我们利用这个公式给出了Deligne和Drinfeld关于Lisse层的一个猜想的秩为1的简单证明。这最初是由Kerz和Saito解决的特征。
We prove Bloch's formula for the Chow group of 0-cycles with modulus on a smooth quasi-projective surface over a field. We use this formula to give a simple proof of the rank one case of a conjecture of Deligne and Drinfeld on lisse-sheaves. This was originally solved by Kerz and Saito in characteristic.