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1 IMJ-PRG - Institut de Mathématiques de Jussieu - Paris Rive Gauche 2 Department of Mathematics Kyoto

Abstract : The effectivity up to R-linear equivalence Dirichlet property of pseudoeffective adelic R-Cartier divisors is a subtle problem in arithmetic geometry. In this article, we propose sufficient conditions for the Dirichlet property by using the dynamic system in the classic Arakelov geometry setting. We also give a numerical criterion of the Dirichlet property for adelic R-Cartier divisors on curves over a trivially valued field.





Author: Huayi Chen - Atsushi Moriwaki -

Source: https://hal.archives-ouvertes.fr/



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