Hilbert \(\ell\)-class field towers of imaginary \(\ell\)-cyclic function fields. (English) Zbl 1524.11210
Summary: In this paper we study the infiniteness of the Hilbert \(\ell\)-class field tower of imaginary \(\ell\)-cyclic function fields when \(\ell \geq 5\).
MSC:
| 11R58 | Arithmetic theory of algebraic function fields |
| 11R60 | Cyclotomic function fields (class groups, Bernoulli objects, etc.) |
| 11R18 | Cyclotomic extensions |
References:
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