Dual Abelian Variety

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, PoincarĂ© 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)

    Uses are always much broader than functions, and usually far less contentious. The word function carries overtones of purpose and propriety, of concern with why something was developed rather than with how it has actually been found useful. The function of automobiles is to transport people and objects, but they are used for a variety of other purposes—as homes, offices, bedrooms, henhouses, jetties, breakwaters, even offensive weapons.
    Frank Smith (b. 1928)