[The invariant class of a binary form]
We explain how to associate to any irreducible binary form an element of the class group in the corresponding ring. This class does not depend on the choice of the form modulo the action of SL2. The question is to generalize the classical theory of quadratic forms.
Nous montrons comment on peut associer à chaque forme binaire irréductible un élément du groupe de classes de l'anneau associé. Cette classe ne dépend pas du choix du représentant de la forme modulo l'action de SL2. Il s'agit d'une généralisation de la théorie classique pour les formes quadratiques.
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Published online:
Denis Simon 1
@article{CRMATH_2003__336_1_7_0, author = {Denis Simon}, title = {La classe invariante d'une forme binaire}, journal = {Comptes Rendus. Math\'ematique}, pages = {7--10}, publisher = {Elsevier}, volume = {336}, number = {1}, year = {2003}, doi = {10.1016/S1631-073X(02)00021-3}, language = {fr}, }
Denis Simon. La classe invariante d'une forme binaire. Comptes Rendus. Mathématique, Volume 336 (2003) no. 1, pp. 7-10. doi : 10.1016/S1631-073X(02)00021-3. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)00021-3/
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