Galois sets of connected components and Weil restriction
  Let $k$ be a field, $A$ a finite $k$-algebra and $X$ a smooth $A$-scheme. We describe the Galois set of connected components of the Weil restriction $\Re_{A/k}(X)$ in terms of the sets of connected components of the geometric fibers of $X$. 
Alessandra Bertapelle and Cristian D. Gonz\'alez-Avil\'es
math.AG