On Abelian subvarieties of bounded degree in a polarized Abelian variety
Abstract
If A is an Abelian variety, endowed with a polarization L, we study the function NA(t) which counts the number of Abelian subvarieties S in A such that for the induced polarization L|S the Euler characteristic (L|S) is bounded above by t. We give an estimate for the asymptotic order of growth of this function.
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