论文标题
霍奇束中的饱和轨道封闭
Saturated orbit closures in the Hodge bundle
论文作者
论文摘要
我们给出了$ {\ rm gl}^+（2，\ mathbb {r}）$ orbit闭合的分类的新证明，这些闭合是在霍奇束的绝对时期叶子中饱和的。结果，我们获得了简短的证据，证明了霍奇束的绝对时期叶子的叶子闭合的分类。我们的方法基于一种方法，用于分类$ {\ rm gl}^+（2，\ mathbb {r}）$ - 使用扁平裤子的变形闭合轨道闭合。
We give a new proof of the classification of ${\rm GL}^+(2,\mathbb{R})$-orbit closures that are saturated for the absolute period foliation of the Hodge bundle. As a consequence, we obtain a short proof of the classification of closures of leaves of the absolute period foliation of the Hodge bundle. Our approach is based on a method for classifying ${\rm GL}^+(2,\mathbb{R})$-orbit closures using deformations of flat pairs of pants.
