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September 20th, 2007, 07:53 PM   #1
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Abelian Varieties

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I need help understanding how if X is a abelian variety, and n_x : X -> X is defined by x goes to nx (n an integer), then the kernel of n_x, call it X_n, is isomophic to (Z/nZ)^g if the charecteristic of the field you are working in is p and p does not divide n (note that g is the dimension of X)...if anyone has seen this stuff before can you help me understand this.
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