Talk:Inertial primes

Notation

${\mathcal {O}}_{\mathbb {Q} {\sqrt {D}}}$ or ${\mathcal {O}}_{\mathbb {Q} ({\sqrt {D}})}$? I see the notation with the parentheses being used. Here is an example (e.g. on page 5) using ${\mathcal {O}}_{\mathbb {Q} ({\sqrt {D}})}$

http://arxiv.org/abs/1202.1756

— Daniel Forgues 01:10, 25 February 2013 (UTC)

That example is correct. Parentheses are needed to denote a field. Basically, X[s] means the ring with elements of the form $x_{1}+x_{2}s$ and X(s) means the field with numerators in X[s] and denominators in X[s] \ {0}. Xs looks like the elements of X multiplied by s... a very different creature, and certainly not a field.

Good catch, Daniel.

Charles R Greathouse IV 01:57, 25 February 2013 (UTC)