Journal article
Unramified Heisenberg group extensions of number fields
Israel journal of mathematics, Vol.247, pp.233-249
12/10/2021
DOI: 10.1007/s11856-021-2260-8
Abstract
We construct etale generalized Heisenberg group covers of hyperelliptic curves over number fields. We use these to produce infinite families of quadratic extensions of cyclotomic fields that admit everywhere unramified generalized Heisenberg Galois extensions.
Details
- Title: Subtitle
- Unramified Heisenberg group extensions of number fields
- Creators
- Frauke M Bleher - University of IowaTed Chinburg - University of PennsylvaniaJean Gillibert - Centre National de la Recherche Scientifique
- Resource Type
- Journal article
- Publication Details
- Israel journal of mathematics, Vol.247, pp.233-249
- DOI
- 10.1007/s11856-021-2260-8
- ISSN
- 0021-2172
- eISSN
- 1565-8511
- Publisher
- HEBREW UNIV MAGNES PRESS
- Number of pages
- 17
- Grant note
- DMS-1360767 / NSF FRG Grant; National Science Foundation (NSF) CNS-1513671; CNS-1701785 / NSF SaTC grants DMS-1801328 / NSF; National Science Foundation (NSF)
- Language
- English
- Date published
- 12/10/2021
- Academic Unit
- Mathematics
- Record Identifier
- 9984241051802771
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