Bernat Plans

activity

20072016

collaborators

3 papers

math.NT2016

On Noether's rationality problem for cyclic groups over $Q$

Bernat Plans

Let $p$ be a prime number. Let $C_{p}$ , the cyclic group of order $p$ , permute transitively a set of indeterminates ${x_{1}, \dots, x_{p}}$ . We prove that the invariant field $\mathb…

math.AC2015

On the integral degree of integral ring extensions

José M. Giral, Liam O'Carroll, Francesc Planas-Vilanova +1

Let $A \subset B$ be an integral ring extension of integral domains with fields of fractions $K$ and $L$ , respectively. The integral degree of $A \subset B$ , denoted by ${\rm d}_A(B)…

math.RA2007

Reduction theorems for Noether's problem

Ming-chang Kang, Bernat Plans

We will give several reduction theorems for Noether's problem.

On Noether's rationality problem for cyclic groups over Q

On the integral degree of integral ring extensions

Reduction theorems for Noether's problem

On Noether's rationality problem for cyclic groups over $Q$