On the unirationality of supersingular K3 surfaces

Abstract

We prove that supersingular K3 surfaces over algebraically closed fields of characteristic at least $5$ are unirational, following a simplified form of Liedtke's strategy.

Withdrawn due to an error in Proposition 5.6, corresponding to an identical error in Proposition 3.5 and Theorem 3.6 in Liedtke's original arXiv:1304.5623 (published in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

References in corpus (3)

• Supersingular K3 Surfaces are Unirational
• The Tate conjecture for K3 surfaces in odd characteristic
• Rational curves in the moduli of supersingular K3 surfaces

Cited by in corpus (4)

• Twistor spaces for supersingular K3 surfaces
• Supersingular K3 Surfaces are Unirational
• Perfect points on genus one curves and consequences for supersingular K3 surfaces
• Rational curves in the moduli of supersingular K3 surfaces