Diophantine approximation on algebraic varieties

Michael Nakamaye

Displaying similar documents to “Diophantine approximation on algebraic varieties”

The Mordell conjecture revisited

Enrico Bombieri (1990)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Siegel's lemma, Padé approximations and jacobians

Enrico Bombieri, Paula B. Cohen (1997)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Multiple point Seshadri constants and the dimension of adjoint linear series

Oliver Küchle (1996)

Annales de l'institut Fourier

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In this note multiple point Seshadri constants measuring the positivity of ample line bundles on complex projective varieties at a finite number of points are defined. A lower bound which is asymptotically optimal for a large number of points is proven for the constant at very general points. As an application estimates on the number of sections in adjoint linear systems are deduced.