Unramified Heisenberg group extensions of number fields
| العنوان: | Unramified Heisenberg group extensions of number fields |
|---|---|
| المؤلفون: | Frauke M. Bleher, Ted Chinburg, Jean Gillibert |
| سنة النشر: | 2019 |
| مصطلحات موضوعية: | Mathematics - Number Theory, 11R20 (Primary) 11G30, 14H30 (Secondary), General Mathematics, Mathematics::Number Theory, 010102 general mathematics, 01 natural sciences, Mathematics::Algebraic Geometry, Mathematics::K-Theory and Homology, 0103 physical sciences, FOS: Mathematics, Condensed Matter::Strongly Correlated Electrons, 010307 mathematical physics, Number Theory (math.NT), 0101 mathematics |
| الوصف: | 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. Comment: 11 pages; added Remark 3.4, extended Section 3.3, shortened Section 4.2 and added Section 4.3 |
| اللغة: | English |
| URL الوصول: | https://explore.openaire.eu/search/publication?articleId=doi_dedup___::184a02e19f3aa9f048f0f08a7a9f2d7b http://arxiv.org/abs/1912.03019 |
| Rights: | OPEN |
| رقم الانضمام: | edsair.doi.dedup.....184a02e19f3aa9f048f0f08a7a9f2d7b |
| قاعدة البيانات: | OpenAIRE |
| الوصف غير متاح. |