# On the image of the Abel-Jacobi map

## TL;DR

This paper investigates the infinitesimal properties of the Abel-Jacobi map, generalizing previous observations, and applies these results to confirm a conjecture by Griffiths and Harris.

## Contribution

It generalizes Green and Griffiths' observation on the Abel-Jacobi map's infinitesimal form and proves a related conjecture by Griffiths and Harris.

## Key findings

- Confirmed the infinitesimal form of the Griffiths-Harris conjecture.
- Extended the understanding of the Abel-Jacobi map's infinitesimal behavior.
- Provided new insights into the geometry of algebraic cycles.

## Abstract

We prove and generalize an observation of Green and Griffiths on the infinitesimal form of the Abel-Jacobi map. As an application, we prove that the infinitesimal form of a conjecture by Griffiths and Harris is true.