Idele class groups with modulus
Rahul Gupta, Amalendu Krishna
TL;DR
This paper proves Bloch's formula for Chow groups of 0-cycles with modulus on smooth projective varieties over finite fields, using new results in global ramification theory.
Contribution
It introduces two new results in global ramification theory to establish Bloch's formula in this setting.
Findings
Bloch's formula is valid for 0-cycles with modulus over finite fields.
New results in global ramification theory are developed.
The proof advances understanding of ramification and algebraic cycles.
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Homotopy and Cohomology in Algebraic Topology