A computation of Sym^2(Pic(Hbar_g))

Date: 2021-09-30

Time: 15:30 - 16:30

Speaker

Zhengning Hu

Abstract

We denote by \Hbar_g the closure of the hyperelliptic locus in the moduli space of stable curves of genus g. We consider the map Sym^2(\Pic(\Hbar_g)) \to CH^2(\Hbar_g) and prove the kernel of the map is generated by a single relation. Moreover, the relation depends on the parity of g, but otherwise the relation has a simple recursive form.