We study the Coulomb blockade of tunneling through a double quantum do
t. The temperature dependence of the linear conductance is strongly af
fected by the interdot tunneling. As the tunneling grows, a crossover
from temperature-independent peak conductance to a power-law suppressi
on of conductance at low temperatures is predicted. This suppression i
s a manifestation of the Anderson orthogonality catastrophe associated
with the charge redistribution between the dots, which accompanies th
e tunneling of an electron into a dot. We find analytically the shapes
of the Coulomb blockade peaks in conductance as a function of gate vo
ltage.