# Arithmetic Chern-Simons theory for arithmetic schemes

## TL;DR

This paper extends arithmetic Chern-Simons theory to a broader class of schemes over rings of integers in number fields, utilizing duality theorems to deepen the theoretical framework.

## Contribution

It introduces a generalized formulation of arithmetic Chern-Simons theory applicable to regular flat schemes over rings of integers, expanding prior models.

## Key findings

- Develops a new theoretical framework for arithmetic Chern-Simons theory.
- Utilizes duality theorems to establish the generalization.
- Provides foundational groundwork for future research in arithmetic geometry.

## Abstract

In this paper, we generalize the arithmetic Chern-Simons theory to regular flat separated schemes of finite type over rings of integers of number fields by applying the duality theorems for arithmetic schemes.