The Theorem of Honda and Tate

Abstract

(1) B is k-isogenous to an abelian subvariety of A. (2) fB|fA in Q[T ]. In particular, A is k-isogenous to B if and only if fA = fB. Moreover, A is k-simple if and only if fA is a power of an irreducible polynomial in Q[T ]. Recall that the roots of fA in C are “Weil q-integers”: algebraic integers whose images in C all have absolute value q. By Theorem 1.1… (More)

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Cite this paper

@inproceedings{Eisentrger2006TheTO, title={The Theorem of Honda and Tate}, author={Kirsten Eisentr{\"a}ger and Brian Conrad}, year={2006} }