09-02【Junyu Meng】新楼310 代数系列报告

发布者:唐慧发布时间:2026-09-01

题目: Hilbert squares of genus 16 K3 surfaces


报告人:Junyu Meng, University of Toulouse


时间:2026年9月2日(周三)下午2:30-3:30


地点:数学学院新楼310


摘要: 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.