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Transcendental Liouville Inequalities on Projective Varieties

Transcendental Liouville Inequalities on Projective Varieties

Abstract Let $p$ be an algebraic point of a projective variety $X$ defined over a number field. Liouville inequality tells us that the norm at $p$ of a non-vanishing integral global section of a hermitian line bundle over $X$ is zero or it cannot be too small with respect to …