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)
“It seemed there was a sort of poisoning, an auto-infection of the organisms, so Dr. Krokowski said; it was caused by the disintegration of a substance ... and the products of this disintegration operated like an intoxicant upon the nerve-centres of the spinal cord, with an effect similar to that of certain poisons, such as morphia, or cocaine.”
—Thomas Mann (1875–1955)
“Isn’t it odd that networks accept billions of dollars from advertisers to teach people to use products and then proclaim that children aren’t learning about violence from their steady diet of it on television!”
—Toni Liebman (20th century)