Height zeta functions of equivariant compactifications of unipotent groups

TL;DR

This paper proves Manin's conjecture for a class of algebraic varieties called bi-equivariant compactifications of unipotent groups, advancing understanding of rational points distribution.

Contribution

It establishes the conjecture for these specific compactifications, which was previously unproven in this context.

Findings

Manin's conjecture is verified for bi-equivariant compactifications of unipotent groups.

Provides new methods for analyzing height zeta functions in this setting.

Enhances the theoretical framework connecting algebraic geometry and number theory.

Abstract

We prove Manin's conjecture for bi-equivariant compactifications of unipotent groups.