Huayi Chen, Atsushi Moriwaki
Published 2017-04-05Version 1
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.
Hyperbolic polarized dynamics, pairs of inverse maps and the Dirichlet property
Coherence of local and global hulls
Sufficient conditions for the surjectivity of radical curve parametrizations
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