Division Algebras on ${\Bbb P}^2$ of Odd Index, Ramified Along a Smooth Elliptic Curve Are Cyclic
Division Algebras on ${\Bbb P}^2$ of Odd Index, Ramified Along a Smooth Elliptic Curve Are Cyclic
Séminaires et Congrès | 1997
- Consulter un extrait
- Année : 1997
- Tome : 2
- Format : Papier
- Langue de l'ouvrage :
Anglais - Class. Math. : 16K20, 13A20
- Pages : 43-53
The simplest non-trivial division algebras that can be constructed over a rational function field in two variables are those that ramify along a divisor of degree three. In this note we give a precise structure theorem for such division algebras. It follows in particular that they are cyclic if the ramification locus is singular or if the index is odd.
Actualité
Publication
Événements
Dossier et ressources
