On $m$-ovoids of finite classical polar spaces with an irreducible transitive automorphism group

Abstract

In this paper, we classify the $m$-ovoids of finite classical polar spaces that admit a transitive automorphism group acting irreducibly on the ambient vector space. In particular, we obtain several new infinite families of transitive $m$-ovoids.

Comments are welcome. 31 pages; Accepted for pubilcation in SCIENCE CHINA Mathemmatics