Chow motives of quasi elliptic surfaces

TL;DR

This paper proves that the transcendental motive of any quasi elliptic surface is trivial by examining their uniruledness, contributing to the understanding of their algebraic and geometric structure.

Contribution

It establishes the triviality of the transcendental motive for quasi elliptic surfaces, a novel result in the study of their motives.

Findings

Transcendental motive of quasi elliptic surfaces is trivial.

Quasi elliptic surfaces are uniruled.

Provides new insights into their motive structure.

Abstract

We prove that the transcendental motive of any quasi elliptic surface is trivial. To prove this, we focus on the uniruledness of quasi elliptic surfaces.