03 oct 2016
11:45 - 12:45
Salle 5, Site Marcelin Berthelot
En libre accès, dans la limite des places disponibles

Intervenant(s)

Gavril Farkas, Université Humboldt de Berlin
URL de la vidéo

In a celebrated series of papers, Mukai established structure theorems for polarized K3 surfaces of all genera g<21, with the exception of the case g=14. Using Hassett's identification between the moduli space of polarized K3 surfaces of genus 14 and the moduli space of special cubic fourfolds of discriminant 26, we establish the rationality of the universal K3 surface of genus 14. The proof relies on a degenerate version of Mukai's structure theorem for K3 surfaces of genus 8. This is joint work with Verra.

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