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 curves, for example). Another name for abelian varieties of CM-type is abelian varieties with sufficiently many complex multiplications. It is known that if "K" is the complex numbers, then any such "A" has a field of definition which is in fact a number field. The possible types of endomorphism ring have been classified, as rings with involution (the Rosati involution), leading to a classification of CM-type abelian varieties. To construct such varieties in the same style as for elliptic curves, starting with a lattice Λ in C, one must take into account the Riemann relations of abelian variety theory. The