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:
“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)
“Good wine needs no bush,
And perhaps products that people really want need no
hard-sell or soft-sell TV push.
Why not?
Look at pot.”
—Ogden Nash (1902–1971)
“... white people, like black ones, are victims of a racist society. They are products of their time and place.”
—Shirley Chisholm (b. 1924)