On symplectic automorphisms of a surface with genus two fibration and their action on ${\mathrm{CH}}_0$

Jiabin Du, Wenfei Liu

Let $S$ be a complex smooth projective surface with a genus two fibration, and ${\mathrm{Aut}}_s(S)$ the group of symplectic automorphisms, fixing every holomorphic 2-forms (if any)…