# Infinitesimal deformation of Deligne cycle class map

## TL;DR

This paper investigates the infinitesimal behavior of Deligne cycle class maps and confirms Beilinson's conjecture at the infinitesimal level, advancing understanding in algebraic geometry.

## Contribution

It provides the first analysis of the infinitesimal form of Deligne cycle class maps and proves Beilinson's conjecture in this context, offering new insights.

## Key findings

- Infinitesimal form of Deligne cycle class maps studied
- Beilinson's conjecture verified at the infinitesimal level
- Advances understanding of algebraic cycles and their classes

## Abstract

In this note, we study the infinitesimal forms of Deligne cycle class maps. As an application, we prove that the infinitesimal form of a conjecture by Beilinson is true.