对Kodaira纤维的通用盖的伽罗瓦作用

IF 2.3 1区数学 Q1 MATHEMATICS

Duke Mathematical Journal Pub Date : 2020-05-15 DOI:10.1215/00127094-2019-0078

G. González‐diez

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引用次数: 2

摘要

f . Catanese最近提出了一个问题:在绝对伽罗瓦群σ∈Gal(Q)中是否存在一个元素，其在数域上定义了一个Kodaira颤振f: S→B，使得S的全称覆盖与其伽罗瓦共轭曲面S不同构。本文的主要结论是每个元素σ 6= Id。有这个性质。

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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Galois action on universal covers of Kodaira fibrations

F. Catanese has recently asked if there exists an element of the absolute Galois group σ ∈ Gal(Q) for which there is a Kodaira fibration f : S → B defined over a number field such that the universal covers of S and its Galois conjugate surface S are not isomorphic. The main result of this article is that every element σ 6= Id. has this property.

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