Unirational Surfaces on the Noether Line
Algebraic Geometry
2008-12-08 v3 Number Theory
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.
Cite
@article{arxiv.0805.3986,
title = {Unirational Surfaces on the Noether Line},
author = {Christian Liedtke and Matthias Schuett},
journal= {arXiv preprint arXiv:0805.3986},
year = {2008}
}
Comments
12 pages, 1 table; final version: corrected some typos, added details concerning Theorem 8, rephrased section 6