Products
The product of an abelian variety A of dimension m, and an abelian variety B of dimension n, over the same field, is an abelian variety of dimension m + n. An abelian variety is simple if it is not isogenous to a product of abelian varieties of lower dimension. Any abelian variety is isogenous to a product of simple abelian varieties.
Read more about this topic: Abelian Variety
Famous quotes containing the word products:
“The measure discriminates definitely against products which make up what has been universally considered a program of safe farming. The bill upholds as ideals of American farming the men who grow cotton, corn, rice, swine, tobacco, or wheat and nothing else. These are to be given special favors at the expense of the farmer who has toiled for years to build up a constructive farming enterprise to include a variety of crops and livestock.”
—Calvin Coolidge (1872–1933)
“... white people, like black ones, are victims of a racist society. They are products of their time and place.”
—Shirley Chisholm (b. 1924)
“We are the products of editing, rather than of authorship.”
—George Wald (b. 1906)