Algebraic Geometry Seminar

Seminar information archive ~06/09Next seminarFuture seminars 06/10~

Date, time & place Friday 13:30 - 15:00 ハイブリッド開催/117Room #ハイブリッド開催/117 (Graduate School of Math. Sci. Bldg.)
Organizer(s) GONGYO Yoshinori, NAKAMURA Yusuke, TANAKA Hiromu


14:30-16:00   Room #056 (Graduate School of Math. Sci. Bldg.)
Gavril Farkas (Humboldt Univ. Berlin)
Moduli of K3 surfaces via cubic 4-folds (English)
[ Abstract ]
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 the identification between certain moduli spaces of polarized K3 surfaces of genera 14 and the moduli space of special cubic fourfolds of given discriminant, we discuss a novel approach to moduli spaces of K3 surfaces. As an application, we establish the rationality of the universal K3 surface of these genus 14,22. This is joint work with A. Verra.