Rational versus transcendental points on analytic Riemann surfaces

Let ( X ,  L ) be a polarized variety over a number field K . We suppose that L is an hermitian line bundle. Let M be a non compact Riemann Surface and U ⊂ M be a relatively compact open set. Let φ : M → X ( C ) be a holomorphic map. For every positive real number T , let A U ( T ) be the cardinalit...

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