On the motive of certain subvarieties of fixed flags

TL;DR

This paper computes the Chow motive of specific subvarieties within flag manifolds, demonstrating that these motives are Artin motives, thus contributing to the understanding of their algebraic and geometric properties.

Contribution

It provides the first explicit computation of the Chow motive for these subvarieties and establishes their motives as Artin motives, revealing new structural insights.

Findings

Chow motives of certain flag subvarieties are Artin motives

Explicit computation of motives for these subvarieties

Enhanced understanding of their algebraic structure

Abstract

We compute de Chow motive of certain subvarieties of the flags manifold and show that it is an Artin motive.