The area is a good metric
The area is a good metric
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面积是一个很好的衡量标准
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Jonathan Zachhuber
中科院分区：
文献类型：
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作者：
Matteo Costantini;Martin Möller;Jonathan Zachhuber
第一部分将班布里奇，Chen，Gendron，Grushevsky和Moeller给出的阿贝尔微分的投影层的光滑法向交叉因子紧化的构造推广到k-微分的情形。由于广义结构与原始结构密切相关，我们主要考察他们的结果，并证明需要在更一般的背景下进行调整的细节。
在第二部分中，我们证明了平坦面积提供了一个典型的厄米特度量的重言式丛上的有限面积的k-微分的投影层，这是很好的意义上的芒福德。这一结果对于应用Chern-Weyl理论工具是有用的。它已经被用来作为一个假设的工作Sauvaget交换微分，并将用于即将发表的论文陈，默勒和Sauvaget二次微分。
In the first part we extend the construction of the smooth normal-crossing divisors compactification of projectivized strata of abelian differentials given by Bainbridge, Chen, Gendron, Grushevsky and Moeller to the case of k-differentials. Since the generalized construction is closely related to the original one, we mainly survey their results and justify the details that need to be adapted in the more general context.
In the second part we show that the flat area provides a canonical hermitian metric on the tautological bundle over the projectivized strata of finite area k-differentials which is good in the sense of Mumford. This result is useful in order to apply Chern-Weyl theory tools. It has already been used as an assumption in the work of Sauvaget for abelian differentials and will be used in a forthcoming paper of Chen, Moeller and Sauvaget for quadratic differentials.
影响因子：
2.5
作者：
Matt Bainbridge;Dawei Chen;Q. Gendron;S. Grushevsky;Martin Moeller
通讯作者：
Matt Bainbridge;Dawei Chen;Q. Gendron;S. Grushevsky;Martin Moeller