  Apart from math.AG/0608569, it contains the following applications of it. Let
M be a simply connected, irreducible smooth complex projective variety of
dimension $n$ such that the Picard number of $M$ is one. If the canonical line
bundle $K_M$ is ample, then the algebraic holonomy of $TM$ is $\text{GL}(n,
{\mathbb C})$. If $K^{-1}_M$ is ample, $\text{rank}(\text{NS}(M)) = 1$, the
biholomorphic automorphism group of $M$ is finite, and $M$ admits a
K\"ahler--Einstein metric, then the algebraic holonomy of $TM$ is ${\rm GL}(n,
{\mathbb C})$.
