Reviews, developments and applications of the minimal model theorem

我们研究了向量束和希格斯束在代数变体和轨道上的应用。在满足一定拓扑条件的一般曲面上，证明了Green-Lang猜想的一个有效版本。我们给出了希格斯束的新定义，这使我们能够构建希格斯束的新例子。

We studied vector bundles and Higgs bundles on algebraic varieties and orbifolds, giving several applications of them. We proved an effective version of the Green-Lang conjecture for entire curves on a surface of general type when the surface satisfies a certain topological condition. We gave a new definition of Higgs bundles, which enabled us to construct new examples of Higgs bundles.