The unirationality of the moduli space of K3 surfaces of genus 22

Gavril Farkas; Alessandro Verra

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arXiv · 1910.10123

The unirationality of the moduli space of K3 surfaces of genus 22

Gavril Farkas·Alessandro Verra

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Abstract

Using the connection discovered by Hassett between the Noether-Lefschetz moduli space of special cubic fourfolds of discriminant 42 and the moduli space F_{22} of polarized K3 surfaces of genus 22, we show that the universal K3 surface over F_{22} is unirational.

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Gavril Farkas, Alessandro Verra. 2019-10-22. The unirationality of the moduli space of K3 surfaces of genus 22. https://arxiv.org/abs/1910.10123

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