Rationality problems and conjectures of Milnor and Bloch–Kato
Rationality problems and conjectures of Milnor and Bloch–Kato
We show how the techniques of Voevodsky's proof of the Milnor conjecture and the Voevodsky- Rost proof of its generalization the Bloch-Kato conjecture can be used to study counterexamples to the classical L\"uroth problem. By generalizing a method due to Peyre, we produce for any prime number l and any …