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

Date: 2021-09-30

Time: 15:30 - 16:30

Zoom link: https://kva-se.zoom.us/j/9217561880


Zhengning Hu


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.