Let $X$ be a smooth projective complex variety with an ample line bundle $L$,and let $D$ be a simple normal crossing divisor. We establish theKobayashi-Hitchin correspondence between tame harmonic bundles on $X-D$ and$\mu_L$-stable parabolic $\lambda$-flat bundles with trivial characteristicnumbers on $(X,D)$. Especially, we obtain the quasiprojective version of theCorlette-Simpson correspondence between flat bundles and Higgs bundles.
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机译：假设$ X $是具有足够线束$ L $的光滑射影复杂变体，并且让$ D $是简单的法线交叉除数。我们建立了在$ X-D $上的驯服谐波束和在$（X，D）$上具有琐碎特征数的$ \ mu_L $-稳定抛物线$ \ lambda $-扁平束之间的Kobayashi-Hitchin对应关系。特别是，我们获得了扁平束和希格斯束之间的Corlette-Simpson对应的拟投影版本。
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