paper

Unirational Surfaces on the Noether Line

arXiv:0805.3986

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.

12 pages, 1 table; final version: corrected some typos, added details concerning Theorem 8, rephrased section 6