Torsion in Chow groups of zero cycles of homogeneous projective varieties

TL;DR

This paper establishes bounds on torsion in the Chow group of zero cycles for certain homogeneous varieties, using new tools to analyze torsion behavior under morphisms.

Contribution

It introduces novel methods to study torsion in Chow groups with coefficients, specifically for isotropic Grassmannians and Brauer-Severi flag varieties.

Findings

Bounds on the order of torsion in Chow groups are provided.

Tools for understanding torsion behavior under morphisms are developed.

Results apply to isotropic Grassmannians and Brauer-Severi varieties.

Abstract

We give bounds on the order of torsion in the Chow group of zero dimensional cycles for isotropic Grassmannians and Brauer-Severi flag varieties. To do this, we introduce tools to understand the behavior of torsion in Chow groups with coefficients under morphisms of proper varieties