Andr'e Macedo

most citedOn the obstruction to the Hasse principle for multinorm equations

1 citations · 1 across the 1 of their papers we have counts for

collaborators

Showing math.NTShow all

3 papers · 1 filter

math.NT2019★ 1 cited

On the obstruction to the Hasse principle for multinorm equations

André Macedo

We investigate local-global principles for multinorm equations over a global field. To this extent, we generalize work of Drakokhrust and Platonov to provide explicit and computabl…

math.NT2019

Explicit methods for the Hasse norm principle and applications to $A_{n}$ and $S_{n}$ extensions

André Macedo, Rachel Newton

Let $K / k$ be an extension of number fields. We describe theoretical results and computational methods for calculating the obstruction to the Hasse norm principle for $K / k$ and the…

math.NT2018

The Hasse norm principle for $A_{n}$ -extensions

André Macedo

We prove that, for every $n \geq 5$ , the Hasse norm principle holds for a degree $n$ extension $K / k$ of number fields with normal closure $F$ such that $\operatorname{Gal}(F/k) \co…

On the obstruction to the Hasse principle for multinorm equations

Explicit methods for the Hasse norm principle and applications to An​ and Sn​ extensions

The Hasse norm principle for An​-extensions

Explicit methods for the Hasse norm principle and applications to $A_{n}$ and $S_{n}$ extensions

The Hasse norm principle for $A_{n}$ -extensions