Dynamics of Special Points on Intermediate Jacobians

TL;DR

This paper investigates the distribution of special points on intermediate Jacobians, specifically those arising from algebraic cycles, providing new density results in the context of algebraic geometry.

Contribution

It establishes general density statements for invertible points on intermediate Jacobians linked to nullhomologous algebraic cycles, advancing understanding of their distribution.

Findings

Proves density of certain points in intermediate Jacobians.

Links algebraic cycles to the structure of Jacobians.

Provides new insights into the Abel-Jacobi map.

Abstract

We prove some general density statements about the subgroup of invertible points on intermediate jacobians; namely those points in the Abel-Jacobi image of nullhomologous algebraic cycles on projective algebraic manifolds.