On The Motivic Leray-Hirsch Theorem For Pure Tate Fibre Bundles

TL;DR

This paper establishes a motivic version of the Leray-Hirsch theorem for pure Tate fiber bundles within the framework of Chow motives, expanding the theoretical understanding of their structure and applications.

Contribution

It introduces a motivic Leray-Hirsch theorem for pure Tate fiber bundles and explores its implications in the context of Chow motives.

Findings

Proves a motivic Leray-Hirsch theorem for pure Tate fiber bundles.

Provides applications of the theorem in algebraic geometry.

Enhances understanding of the structure of Chow motives.

Abstract

In this note we prove a motivic version of Leray-Hirsch theorem for pure Tate fibre bundles in the Grothendieck category of Chow motives. We then discuss some of its applications.