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15 May 2020 Galois action on universal covers of Kodaira fibrations
Gabino González-Diez
Duke Math. J. 169(7): 1281-1303 (15 May 2020). DOI: 10.1215/00127094-2019-0078

Abstract

Catanese has recently asked if there exists an element of the absolute Galois group σGal(Q¯) for which there is a Kodaira fibration f:SB defined over a number field such that the universal covers of S and its Galois conjugate surface Sσ are not isomorphic. The main result of this article is that every element σId has this property.

Citation

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Gabino González-Diez. "Galois action on universal covers of Kodaira fibrations." Duke Math. J. 169 (7) 1281 - 1303, 15 May 2020. https://doi.org/10.1215/00127094-2019-0078

Information

Received: 28 January 2019; Revised: 22 October 2019; Published: 15 May 2020
First available in Project Euclid: 26 March 2020

zbMATH: 07198476
MathSciNet: MR4094736
Digital Object Identifier: 10.1215/00127094-2019-0078

Subjects:
Primary: 32J25
Secondary: 14J20, 14J25, 30F60

Rights: Copyright © 2020 Duke University Press

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Vol.169 • No. 7 • 15 May 2020
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