Generalizations of the Eierlegende–Wollmilchsau

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2020-11-18 DOI:10.4310/cjm.2022.v10.n4.a4

Paul Apisa, A. Wright

引用次数: 2

Abstract

We classify a natural collection of GL(2,R)-invariant subvarieties which includes loci of double covers as well as the orbits of the Eierlegende-Wollmilchsau, Ornithorynque, and Matheus-Yoccoz surfaces. This is motivated in part by a forthcoming application to another classification result, the classification of "high rank" invariant subvarieties. We also give new examples, which negatively resolve two questions of Mirzakhani and Wright, clarify the complex geometry of Teichmuller space, and illustrate new behavior relevant to the finite blocking problem.

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Eierlegende-Wollmilchsau的概括

我们对GL（2，R）-不变子变体的自然集合进行了分类，其中包括双覆盖的位点以及Eierlegende-Wollmilchsau、Ornithorynque和Matheus-Yoccoz曲面的轨道。这在一定程度上是由于即将应用于另一个分类结果，即“高秩”不变子变体的分类。我们还给出了新的例子，这些例子否定地解决了Mirzakhani和Wright的两个问题，阐明了Teichmuller空间的复杂几何，并说明了与有限阻塞问题相关的新行为。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

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