Quintic surface over $p$-adic local fields with infinite $p$-primary torsion in the Chow group of 0-cycles

TL;DR

This paper constructs a specific quintic surface over p-adic local fields demonstrating infinite p-primary torsion within the Chow group of 0-cycles, revealing new phenomena in algebraic geometry.

Contribution

It introduces a novel example of a quintic surface with infinite p-primary torsion in its Chow group over p-adic fields, expanding understanding of torsion phenomena.

Findings

Existence of a quintic surface with infinite p-primary torsion

Demonstration of torsion phenomena in Chow groups over p-adic fields

Advancement in algebraic geometry regarding torsion in 0-cycle Chow groups

Abstract

We construct a quintic surface over p-adic local fields such that there is infinite p-primary torsion in the Chow group of 0-cycles.