Idele class groups with modulus

2021/01/10 by Rahul Gupta, Gupta, Rahul, Amalendu Krishna +1
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2101.04609

openalex publication_date 2021/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Bloch's formula for 0-cycles with modulus and higher dimensional Class Field Theory
• On 0-cycles with modulus
• Arithmetic Cycles with Modulus
• Cycle class maps for Chow groups of zero-cycles with modulus
• 0-cycles on singular schemes and class field theory