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

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arxiv 1910.10123 v3 pith:N2XXN2FQ submitted 2019-10-22 math.AG

Gavril Farkas , Alessandro Verra This is my paper · ORCID
classification math.AG
keywords modulispacegenussurfacesconnectioncubicdiscovereddiscriminant
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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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  1. Trisecant Flops, their associated K3 surfaces and the rationality of some Fano fourfolds

    math.AG 2019-09 conditional novelty 8.0 of 10

    Every cubic fourfold of discriminant 42 is rational, established through a new trisecant-flop construction from the minimal model program.

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