chevalley weil for de Rham 2 false

article_de_rham_cyclic.tex

@@ -233,6 +233,7 @@ $\mc V(M, i)$ for the $k[G]$-module corresponding to a pair $(M, i) \in \Indec(k
 
 Finally, we recall the classical Chevalley-Weil formula. For any $e \in \NN$, denote by $\chi_e$ the primitive character of a cyclic group of order $e$.
 %
+{\color{red}
 \begin{Proposition} \label{prop:chevalley_weil}
 	Keep the above notation and assume that $p \nmid \# G$. Then:
 	%
@@ -255,13 +256,8 @@ Finally, we recall the classical Chevalley-Weil formula. For any $e \in \NN$, de
 		H^1_{dR}(X) \cong k[G]^{\oplus 2g_X - 2} \oplus k^{\oplus 2}.
 	\end{equation}
 	%
-	where:
-	%
-	\begin{align*}
-		a_W^{dR} := 2 (g_Y - 1) \cdot \dim_k W + \sum_{Q \in Y(k)} (e_{X/Y, Q} - 1) \cdot \dim_k W + 2 \cdot \llbracket W \cong k \rrbracket,
-	\end{align*}
 \end{Corollary}
-
+}
 
 \section{Cyclic covers}
 %