Abstract

We show that among simply connected surfaces of general type unirationality is a common feature, even when fixing the positive characteristic or numerical invariants. To do so, we construct unirational Horikawa surfaces in abundance.

Keywords

unirationality, Lüroth problem, Noether–Horikawa surface

Mathematical Subject Classification

Primary: 14M20, 14J29

Milestones

Received: 16 June 2008
Revised: 10 September 2008
Accepted: 11 September 2008
Published: 27 November 2008

Authors