English

Idele class groups with modulus

Algebraic Geometry 2022-03-28 v2

Abstract

We prove Bloch's formula for the Chow group of 0-cycles with modulus on smooth projective varieties over finite fields. The proof relies on two new results in global ramification theory.

Keywords

Cite

@article{arxiv.2101.04609,
  title  = {Idele class groups with modulus},
  author = {Rahul Gupta and Amalendu Krishna},
  journal= {arXiv preprint arXiv:2101.04609},
  year   = {2022}
}

Comments

58 pages, final version. To appear in Advances in Mathematics. arXiv admin note: substantial text overlap with arXiv:2008.05719