Es sei A − 10 = Z [ − 10 ] ≅ Z [ X ] / ( X 2 + 10 ) {\displaystyle {}A_{-10}=\mathbb {Z} [{\sqrt {-10}}]\cong \mathbb {Z} [X]/(X^{2}+10)} der quadratische Zahlbereich zu D = − 10 {\displaystyle {}D=-10} . Berechne den Hauptdivisor zu
![{\displaystyle {}A_{-10}=\mathbb {Z} [{\sqrt {-10}}]\cong \mathbb {Z} [X]/(X^{2}+10)}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2d7b2b9e6fa50ad031c4a9066036f3a1e7efd232)
