### Errata

Galois theory, elliptic curves, and root numbers, Compositio Math. (1996), 311 -- 349.
In the first line of the paragraph containing displayed formula (3.6) on p. 331, the equation  $K=F(\Delta^{1/e})$ should be  $K=F(\varpi^{1/e})$.

A deformation of the Tate module, J. of Algebra 229 (2000), 280 -- 313.
The formula for  $\theta(c)$  on p. 294 is in error: The coefficient of  $X^2$  should be  $(c^4-c^2)/12$,  not  $(c^4+2c^2-3c)/24$.  Although very embarrassing, the error is inconsequential in the sense that there was no need to display the coefficient of  $X^2$  in the first place.