A counterexample to ‘Algebraic function fields with small class number’
✍ Scribed by Stirpe, Claudio
- Book ID
- 124115518
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 245 KB
- Volume
- 143
- Category
- Article
- ISSN
- 0022-314X
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📜 SIMILAR VOLUMES
In a previous paper we proved that there are 11 quadratic algebraic function fields with divisor class number two. Here we complete the classification of algebraic function fields with divisor class number two giving all non-quadratic solutions. Our result is the following. Let us denote by k the fi
We show by a counterexample that Perret's conjecture on in"nite class "eld towers for global function "elds is wrong, and so Perret's method of in"nite rami"ed class "eld towers in the asymptotic theory of global function "elds with many rational places breaks down.