Hilbert squares of genus 16 K3 surfaces

Dr. ​Junyu Meng
2026-09-22 10:00-11:30
MCM410

Speaker: Dr. Junyu Meng (Université de Toulouse)

Title: Hilbert squares of genus 16 K3 surfaces

Time: 10:00-11:30 September 22, 2026 (Tuesday)

Inviter: Prof. Baohua Fu (MCM, CAS)

Place: MCM410

Abstract: It was known that the Hilbert square Hilb^2(S) of a general polarized genus 16 K3 surface S is isomorphic to the Debarre-Voisin 4-fold associated to some 3-form, but an explicit construction of the 3-form was still missing. In this project, we construct this 3-form following the work of Frédéric Han. This is done by incorporating the role of the Fourier-Mukai partner S', which is closely related to Mukai's projective models for genus 16 K3 surfaces.