Looking for the lost torus
A la recherche du tore perdu
Résumé
We classify the groups definable in the coloured fields obtained by Hrushovski amalgamation. A group definable in the bad green field is isogenous to the quotient of a subgroup of an algebraic group by a Cartesian power of the group of green elements. A definable subgroup of an algebraic group in the green or red field is an extension of a Cartesian power of the subgroup of coloured elements by an algebraic group. In particular, a simple group in a coloured field is algebraic.
Domaines
Logique [math.LO]Origine | Fichiers produits par l'(les) auteur(s) |
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