Skip to content

Commit

Permalink
remove final stealth definition
Browse files Browse the repository at this point in the history
  • Loading branch information
kbuzzard committed Dec 15, 2023
1 parent dd52139 commit 7c1d8ad
Showing 1 changed file with 2 additions and 2 deletions.
4 changes: 2 additions & 2 deletions blueprint/src/chapter/frey.tex
Original file line number Diff line number Diff line change
Expand Up @@ -8,14 +8,14 @@ \section{Hardly ramified representations}

We make the following definition (this is not in the literature but it is a useful concept for us). We discuss the meaning of some of the concepts involved afterwards.

\begin{stealthdefinition} Let $p\geq5$ be a prime. A representation $\rho: \GQ\to \GL_2(\Z/p\Z)$ is said to be \emph{hardly ramified} if it satisfies the following four axioms:
\begin{definition} Let $p\geq5$ be a prime. A representation $\rho: \GQ\to \GL_2(\Z/p\Z)$ is said to be \emph{hardly ramified} if it satisfies the following four axioms:
\begin{enumerate}
\item $\det(\rho)$ is the mod $p$ cyclotomic character;
\item $\rho$ is unramified outside $2p$;
\item The semisimplification of the restriction of $\rho$ to is unramified.
\item The restriction of $\rho$ to $\GQp$ comes from a finite flat group scheme;
\end{enumerate}
\end{stealthdefinition}
\end{definition}

The theorem we want to discuss in this section is:

Expand Down

0 comments on commit 7c1d8ad

Please sign in to comment.