Arakelov geometry over adelic curves
Huayi Chen (IMJ-PRG), Atsushi Moriwaki
TL;DR
This work develops a foundational Arakelov theory over adelic curves, aiming to unify various approaches in arithmetic geometry and facilitate future research in the field.
Contribution
It introduces a comprehensive framework for Arakelov geometry over adelic curves, expanding the theoretical foundation for arithmetic geometry.
Findings
Established a new framework for Arakelov geometry over adelic curves
Unified various approaches in arithmetic geometry within this framework
Laid groundwork for future research in arithmetic geometry
Abstract
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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Taxonomy
Topicsadvanced mathematical theories · Mathematical Dynamics and Fractals · Algebraic Geometry and Number Theory
Arakelov geometry
over adelic curves
Huayi CHEN
Institut de Mathématiques de Jussieu - Paris Rive Gauche, Université Paris Diderot
Atsushi MORIWAKI
University of Kyoto
(23/March/2019, Version )