# Arakelov geometry over adelic curves

## 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.

## Key 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.