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arXiv · 1304.5623

Supersingular K3 Surfaces are Unirational

Christian Liedtke
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Abstract

We show that supersingular K3 surfaces in characteristic $p\geq5$ are related sequences of very special correspondences. This is not enough to conclude that they are unirational. As a byproduct, we exhibit a fibration structure on the moduli space of rigidified K3 crystals. We also establish Shioda-Inose type isogeny theorems for K3 surfaces with Picard rank $ρ\geq19$ in positive characteristic.

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Christian Liedtke. 2023-02-08. Supersingular K3 Surfaces are Unirational. https://arxiv.org/abs/1304.5623

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