Dual Abelian Variety - Dual Isogeny (elliptic Curve Case)

Dual Isogeny (elliptic Curve Case)

Given an isogeny

of elliptic curves of degree, the dual isogeny is an isogeny

of the same degree such that

Here denotes the multiplication-by- isogeny which has degree

Read more about this topic:  Dual Abelian Variety

Famous quotes containing the words dual and/or curve:

    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)

    Nothing ever prepares a couple for having a baby, especially the first one. And even baby number two or three, the surprises and challenges, the cosmic curve balls, keep on coming. We can’t believe how much children change everything—the time we rise and the time we go to bed; the way we fight and the way we get along. Even when, and if, we make love.
    Susan Lapinski (20th century)