On the unirationality of supersingular K3 surfaces
Algebraic Geometry
2019-04-11 v5 Number Theory
Abstract
We prove that supersingular K3 surfaces over algebraically closed fields of characteristic at least are unirational, following a simplified form of Liedtke's strategy.
Keywords
Cite
@article{arxiv.1403.3073,
title = {On the unirationality of supersingular K3 surfaces},
author = {Max Lieblich},
journal= {arXiv preprint arXiv:1403.3073},
year = {2019}
}
Comments
Withdrawn due to an error in Proposition 5.6, corresponding to an identical error in Proposition 3.5 and Theorem 3.6 in Liedtke's original arXiv:1304.5623 (published in Inventiones Mathematicae, 200: 979--1014). Liedtke's strategy seems to be fatally flawed, as explained in the author's joint work with Bragg, arXiv:1904.04803