Sufficient conditions for the dirichlet property

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.
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https://hal.archives-ouvertes.fr/hal-01502378
Contributor : Huayi Chen <>
Submitted on : Wednesday, April 5, 2017 - 2:31:37 PM
Last modification on : Thursday, March 21, 2019 - 1:10:06 PM
Long-term archiving on : Thursday, July 6, 2017 - 1:19:55 PM

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  • HAL Id : hal-01502378, version 1
  • ARXIV : 1704.01410

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Huayi Chen, Atsushi Moriwaki. Sufficient conditions for the dirichlet property. 2017. ⟨hal-01502378⟩

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