Fruit ketchup Fruit ketchup Fruit ketchup is a condiment prepared using fruit as a primary ingredient. Various fruits are used in its preparation, and it is also used as a spread and marinade, among other uses. Banana ketchup is a type of fruit ketchup that is common in the Philippines. Some companies mass-produce fruit ketchup, such as Philippines-based Jufran, and Chups, a small company based in Washington, D.C., United States. Fruit ketchup is composed primarily of fruit, and is prepared with fruits such as apples, pears, peaches, currants, grapes, cranberries, cherries and plums, among others. Tropical fruits used in its preparation can
Abelian variety of CM-type complex conjugate pairs; the CM-type is a choice of one out of each pair. It is known that all such possible CM-types can be realised. Basic results of Goro Shimura and Yutaka Taniyama compute the Hasse–Weil L-function of "A", in terms of the CM-type and a Hecke L-function with Hecke character, having infinity-type derived from it. These generalise the results of Max Deuring for the elliptic curve case. Abelian variety of CM-type In mathematics, an abelian variety "A" defined over a field "K" is said to have CM-type if it has a large enough commutative subring in its endomorphism ring