Arakelov Geometry over Adelic Curves

@inproceedings{Chen2020ArakelovGO,
  title={Arakelov Geometry over Adelic Curves},
  author={Huayi Chen and Atsushi Moriwaki},
  year={2020}
}
The purpose of this book is to build up the fundament of an Arakelov theory over adelic curves in order to provide a unified framework for the researches of arithmetic geometry in several directions. 
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Arithmetic Okounkov bodies and positivity of adelic Cartier divisors
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Let K be an arithmetic function field, that is, a field of finite type over the rational number field. In this note, as an application of the height theory due to Chen-Moriwaki, we would like to show
Infinite rank Hermitian Lattices and Loop Groups
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Successive minima and asymptotic slopes in Arakelov Geometry
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Categorification of Harder-Narasimhan Theory via slope functions
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