In mathematics, a dual abelian variety can be defined from an abelian variety A, defined over a field K.
Read more about Dual Abelian Variety: Definition, History, Dual Isogeny (elliptic Curve Case), Construction of The Dual Isogeny, Poincaré Line Bundle
Famous quotes containing the words dual and/or variety:
“Thee for my recitative,
Thee in the driving storm even as now, the snow, the winter-day
declining,
Thee in thy panoply, thy measur’d dual throbbing and thy beat
convulsive,
Thy black cylindric body, golden brass and silvery steel,”
—Walt Whitman (1819–1892)
“The indications are that swearing preceded the development of cursing. That is, expletives, maledictions, exclamations, and imprecations of the immediately explosive or vituperative kind preceded the speechmaking and later rituals involved in the deliberate apportioning of the fate of an enemy. Swearing of the former variety is from the lips only, but the latter is from the heart. Damn it! is not that same as Damn you!”
—Ashley Montagu (b. 1905)