Let 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.
Picone, A. (2012). On the Classification of Algebraic Function Fields of Class Number Three. DISCRETE MATHEMATICS, 312/3.
Data di pubblicazione: | 2012 |
Titolo: | On the Classification of Algebraic Function Fields of Class Number Three |
Autori: | |
Citazione: | Picone, A. (2012). On the Classification of Algebraic Function Fields of Class Number Three. DISCRETE MATHEMATICS, 312/3. |
Rivista: | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.disc.2011.05.014 |
URL: | http://www.sciencedirect.com/science/article/pii/S0012365X11002214 |
Settore Scientifico Disciplinare: | Settore MAT/03 - Geometria |
Appare nelle tipologie: | 1.01 Articolo in rivista |
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