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2015 Hurwitz monodromy and full number fields
David Roberts, Akshay Venkatesh
Algebra Number Theory 9(3): 511-545 (2015). DOI: 10.2140/ant.2015.9.511

Abstract

We give conditions for the monodromy group of a Hurwitz space over the configuration space of branch points to be the full alternating or symmetric group on the degree. Specializing the resulting coverings suggests the existence of many number fields with surprisingly little ramification —for example, the existence of infinitely many Am or Sm number fields unramified away from {2,3,5}.

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David Roberts. Akshay Venkatesh. "Hurwitz monodromy and full number fields." Algebra Number Theory 9 (3) 511 - 545, 2015. https://doi.org/10.2140/ant.2015.9.511

Information

Received: 28 January 2014; Revised: 8 January 2015; Accepted: 18 February 2015; Published: 2015
First available in Project Euclid: 16 November 2017

zbMATH: 1349.14037
MathSciNet: MR3340543
Digital Object Identifier: 10.2140/ant.2015.9.511

Subjects:
Primary: 14D05
Secondary: 11R21, 20F36

Rights: Copyright © 2015 Mathematical Sciences Publishers

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Vol.9 • No. 3 • 2015
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