On transitive ovoids of finite Hermitian polar spaces

TL;DR

This paper completes the classification of transitive ovoids in finite Hermitian polar spaces, advancing understanding of their structure and symmetry properties.

Contribution

It provides a complete classification of transitive ovoids in finite Hermitian polar spaces, a problem previously only partially solved.

Findings

Complete classification achieved

Identification of all transitive ovoids

Enhanced understanding of Hermitian polar space symmetries

Abstract

In this paper, we complete the classification of transitive ovoids of finite Hermitian polar spaces.