ABELIAN VARIETIES OVER FINITE FIELDS WITH A SPECIFIED CHARACTERISTIC POLYNOMIAL MODULO l
نویسنده
چکیده
We estimate the fraction of isogeny classes of abelian varieties over a finite field which have a given characteristic polynomial P (T ) modulo l. As an application we find the proportion of isogeny classes of abelian varieties with a rational point of order l.
منابع مشابه
Frobenius Maps of Abelian Varieties and Finding Roots of Unity in Finite Fields
We give a generalization to Abelian varieties over finite fields of the algorithm of Schoof for elliptic curves. Schoof showed that for an elliptic curve E over F , given by a Weierstrass equation, one can compute the number of Q F -rational points of E in time 0((log<?) ). Our result is the following. Let A be an Abelian variety over F . Then one can compute the characteristic polynomial of th...
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