Stable birational invariants with Galois descent and differential forms

TL;DR

This paper introduces a new stable birational invariant derived from the cohomology of generic points of algebraic complex varieties, considering Galois descent and differential forms, which remains invariant under certain transformations.

Contribution

It demonstrates that the cohomology of generic points becomes a stable birational invariant when considered modulo affine space cohomology, utilizing Galois descent and differential forms.

Findings

Cohomology of generic points is stable birational invariant

Invariant is considered modulo affine space cohomology

Uses Galois descent and differential forms techniques

Abstract

I show that the cohomology of the generic points of algebraic complex varieties becomes {\sl stable} birational invariant, when considered `modulo the cohomology of the generic points of the affine spaces'.