论文标题
从其边界重建轨道封闭
Reconstructing orbit closures from their boundaries
论文作者
论文摘要
我们介绍和研究gl（2，r）的钻石 - 异化和二次差异的各个子变量，这使我们能够通过同时考虑两种变性来恢复不变亚变量的信息，并为不变性亚相物的分类提供了一种新工具。我们对钻石集合进行了令人惊讶的丰富集合，其中两个变性包含在琐碎的不变亚不同中。我们的主要结果已应用于对大量不变亚不同集合进行分类。这些结果的陈述不涉及钻石，但它们的证明依赖于它们。
We introduce and study diamonds of GL(2,R)-invariant subvarieties of Abelian and quadratic differentials, which allow us to recover information on an invariant subvariety by simultaneously considering two degenerations, and which provide a new tool for the classification of invariant subvarieties. We classify a surprisingly rich collection of diamonds where the two degenerations are contained in trivial invariant subvarieties. Our main results have been applied to classify large collections of invariant subvarieties; the statement of those results do not involve diamonds, but their proofs rely on them.
