Idele class groups with modulus

DOI10.1016/J.AIM.2022.108376arXiv2101.04609MaRDI QIDQ6358130

Publication date: 10 January 2021

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.

Mathematics Subject Classification ID

Algebraic cycles (14C25) Motivic cohomology; motivic homotopy theory (14F42) Algebraic cycles and motivic cohomology ((K)-theoretic aspects) (19E15)

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