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On the classification of algebraic function fields of class number three
Alberto Piconesubject
Discrete mathematicsAlgebraic function fieldFunction field of an algebraic varietyField (mathematics)Algebraic number fieldAlgebraic function fieldTheoretical Computer ScienceCombinatoricsDiscriminant of an algebraic number fieldField extensionDiscrete Mathematics and CombinatoricsQuadratic fieldAlgebraic functionSettore MAT/03 - GeometriaMathematicsClass numberdescription
AbstractLet F be an algebraic function field of one variable having a finite field Fq with q>2 elements as its field of constants. We determine all such fields for which the class number is three. More precisely, we show that, up to Fq-isomorphism, there are only 8 of such function fields. For q=2 the problem has been solved under the additional hypothesis that the function field is quadratic.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2012-02-01 | Discrete Mathematics |