The Universal K3 Surface of Genus 14 via Cubic Fourfolds

نویسنده

  • GAVRIL FARKAS
چکیده

Using Hassett’s isomorphism between the Noether-Lefschetz moduli space C26 of special cubic fourfolds X ⊂ P of discriminant 26 and the moduli space F14 of polarized K3 surfaces of genus 14, we use the family of 3-nodal scrolls of degree seven in X to show that the universal K3 surface over F14 is rational.

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تاریخ انتشار 2017